58 SSC CGL Quantitative Aptitude previous year questions on Time and Distance — options free on every question; 6 include the answer & explanation free, the rest unlock with PYQ Pass.
Q1 FREE PREVIEW
PYQ
A bus travels 150 Km in 3 hours and then travel next 2 hours at 60 Km/hr. Then the average speed of the bus will be -
a55 Km / hr
b54 Km/hr
c50 Km/hr
d60 Km/hr
✓ Correct answer: b) 54 Km/hr
ExplanationDistance covered in 2 hrs with the speed of 60 km/hr = 2 × 60 = 120 Total distance = 150 + 120 = 270 Total time = 2 + 3 = 5 hrs As we know, Average speed = Total distance/Total Time ∴ Average speed = 270/5 = 54 km/hr
Q2 FREE PREVIEW
PYQ
A taxi going at 90 km/hr takes 35 minutes to travel a certain distance. By how much should it increase its speed (in km/hr) to travel the same distance in 21 minutes?
a60
b150
c120
d90
✓ Correct answer: a) 60
ExplanationGiven, Speed of taxi = 90 km/hr Time = 35 minutes = hour Distance = km New Time = 21 minutes = hour New speed = km/h Increasement in speed = 150 – 90 = 60 km/hr Hence, Option A is the correct answer.
Q3 FREE PREVIEW
PYQ
A man travelled a distance of 99 km in 9 hours. He travelled partly on foot @9 km/hr and partly on bicycle @ 18 km/hr. What is distance (in kms) travelled on foot?
a36
b54
c63
d45
✓ Correct answer: c) 63
ExplanationGiven, Distance = 99 km Time = 9hr Speed on foot = 9 km/hr Speed on bicycle = 18 km/hr Let distance travelled on foot = a km Then distance travelled on bicycle = (99 – a) km According to the question, Time taken on foot + Time taken on Bicycle = 9 hr Hence, Distance travelled on foot = 63 km Hence, Option C is the correct answer.
Q4 FREE PREVIEW
PYQ
If I walk at 7/6 of my usual speed, then I reach my office 15 minutes early. What is the usual time taken (in minutes) by me to reach the office?
a60
b75
c90
d105
✓ Correct answer: d) 105
ExplanationLet usual speed = x Total distance = y According to the question, Hence, Option D is the correct answer.
Q5 FREE PREVIEW
PYQ
Excluding stoppages, the speed of a train is 120 kmph and including stoppages, it is 50 kmph. For how many minutes does the train stop per hour?
a25
b40
c35
d20
✓ Correct answer: c) 35
ExplanationThe speed of the train with stoppage = 50 km/h The speed of a train without stoppage = 120 km/h Difference speed = 120-50=70 km/h Stoppage time minutes Hence, Option C is the correct answer.
Q6 FREE PREVIEW
PYQ
If a person walks at 15 km/hr instead of 9 km/hr, he would have walked 3 km more in the same time. What is the actual distance (in kms) travelled by him?
a5.5
b6.5
c4.5
d7.5
✓ Correct answer: c) 4.5
ExplanationGiven, Speed (A) = 15 km/hr Speed (B) = 9 km/hr Let, distance travelled at A speed = a km then, distance travelled at B speed = (a + 3) km According to the question, km Actual distance = Distance travelled at 9 km/hr = a = 4.5 km Hence, Option C is the correct answer.
Q7
PYQ
If a boat goes a certain distance at 30 km/hr and comes back the same distance at 60 km/hr . What is the average speed (in km/hr) for the total journey?
a45
b50
c40
d35
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q8
PYQ
To travel 432 km, an Express train takes 1 hour more than Duronto. If however, the speed of the Express train is increased by 50%, it takes 2 hours less than Duronto. What is the speed (in km/hr) of Duronto train?
a60
b54
c48
d72
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q9
PYQ
A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr ) of bus?
a20.57
b24
c28
d26.52
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q10
PYQ
Two trains are moving in the opposite directions at speed of 43 km/h and 51 km/h respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?
a235
b338.4
c470
d940
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q11
PYQ
A train of length 100 m crosses another train of length 150 m, running on a parallel track in the opposite direction in 9 seconds. If the speed of train having length 150 m is 40 km/hr, then what is the speed (in km /hr ) of the other train?
a30
b48
c50
d60
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q12
PYQ
Diameter of the wheel of a cycle is 21cm. The cyclist takes 45 minutes to reach a destination at a speed of 16.5km/hr. How many revolutions will the wheel make during the journey?
a12325
b18750
c21000
d24350
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q13
PYQ
A man makes four trips of equal distances. His speed on first trip was 60 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed (in km/ hr) of the man in these four trips?
a16
b30
c28.125
d27.5
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q14
PYQ
To cover a distance of 144 km in 3.2 hours what should be the average speed of the car in meters/second?
a12.5
b10
c7.5
d15
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q15
PYQ
Walking at of his usual speed, a person reaches his office 20 minutes late than the usual time. His usual time in minutes is:
a25
b30
c20
d40
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q16
PYQ
Walking at of his usual speed, a person reaches his office 10 minutes later than the usual time. His usual time in minutes is:
a35
b27
c42
d30
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q17
PYQ
Walking at of his usual speed, a person reaches his office 18 minutes late than the usual time. His usual time in minutes is:
a60
b54
c72
d45
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q18
PYQ
A train crosses a pole in 12 , and a bridge of length 170 in 36 . Then the speed of the train is:
a32.45
b30.75
c25.5
d10.8
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q19
PYQ
Two racers run at a speed of 100 m/min and 120 m/min, respectively. If the second racer takes 10 minutes less than the first to complete the run, then how long is the race?
a2 km
b4 km
c6 km
d1 km
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q20
PYQ
A private taxi company charges a fixed charge along with a per kilometer charge based on the distance covered. For a journey of 24 km, the charges paid are ₹ 368 and for a journey 32km, the charges paid are ₹464. How much will a person have to pay for travelling a distance of 15 km ?
a180
b280
c290
d260
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q21
PYQ
Akhil takes 30 minutes extra to cover a distance of 150 km if he drives 10 km/h slower than his usual speed. How much time will it take to drive 90 km if he drives 15 km per hour slower than his usual speed?
a2h
b2h 30m
c2h 15m
d2h 45m
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q22
PYQ
If a train runs with the speed of 72km/h, it reaches its destination late by 15 minutes. However, if its speed is 90 km/h, it is only 5 minutes late. The correct time to cover its journey in minutes is:
a45
b35
c40
d32
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q23
PYQ
A train is to cover 370 km at a uniform speed. After running 100 km, the train could run at a speed 5 km/h less than its normal speed due to some technical fault. The train got delayed by 36 minutes. What is the normal speed of the train, in km/h?
a50
b40
c45
d48
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q24
PYQ
Shyam drives his car 30 km at a speed of 45km/h and, for the next 1 hr 20 min , he drives it at a speed of 51 km/h. Find his average speed (in km/h ) for the entire journey.
a49
b48
c48.5
d47
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q25
PYQ
A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km / h ) is the remaining journey completed?
a84
b90
c72
d108
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q26
PYQ
The ratio of the speeds of two trains is 2 :7. If the first train runs 250 km in 5 hours, then the sum of the speeds (in km h) of both the trains is:
a250
b175
c150
d225
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q27
PYQ
The distance between two towns is covered in 7 hours at a speed of 50 km/h. By how much should the speed (in km/h) be increased so that 2 hours of travelling time will be saved?
a70
b20
c40
d30
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q28
PYQ
A 240-m long train crosses a 360-m long tunnel in 30 seconds. What is the speed of the train (in km/h)?
a72
b43.2
c60
d28.8
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q29
PYQ
Vinay and Mahesh are 250 metres apart from each other. They are moving towards each other with the speed of 36 and hr respectively. In how much time will they meet each other?
a12 seconds
b20 seconds
c10 seconds
d15 seconds
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q30
PYQ
A railway engine crosses two bridges 400 m and 235 m long in 100 seconds and 60 seconds respectively. Twice the length of the engine (in metres) is:
a24
b25
c12.5
d12
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q31
PYQ
A train of length 287 m, running at 80 km/h, crosses another train moving in the opposite direction at 37 km/h in 18 seconds. What is the length of the other train?
a300 m
b298 m
c289 m
d285 m
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q32
PYQ
If Raman drives his bike at a speed of 24 km/h , he reaches his office 5 minutes late. If he drives at a speed of 30 km /h , he reaches his office 4 minutes early. How much time (in minutes) will he take to reach his office at a speed of 27 km/h?
a45
b55
c40
d50
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q33
PYQ
A truck runs 492 km on 36 Litter of diesel. How many kilometres can it run on 33 Litter of diesel?
a454 km
b453 km
c451 km
d452 km
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q34
PYQ
A river 6 m deep and 35 m wide is flowing at the rate of 2.5km/h, the amount of water that runs into the sea per minute is:
a5870 m3
b7850 m3
c7580 m3
d8750 m3
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q35
PYQ
Two trains are running on parallel tracks in the same direction at the speed of 80 km/h and 90 km/h, respectively. The faster train crossed the slower train in 3 minutes. If the length of one train is 230 m, then what is the length (in m) of the other train?
a270
b250
c230
d300
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q36
PYQ
In a 1500 m race, Anil beats Bakul by 150 m and in the same race Bakul beats Charles by 75 m. By what distance does Anil beat Charles?
a217.50 m
b200.15 m
c293.50 m
d313.75 m
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q37
PYQ
If Ram covers a certain journey at 60% of his usual speed, he reaches the destination late by 36 min. His usual time (in min) to reach the destination is:
a60
b72
c50
d54
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q38
PYQ
Two runners, Sony and Mony, start running on a circular track of length 200 m at speeds of 18 and 24 km/h, respectively, in the same direction. After how much time from the start will they meet again at the starting point?
a120 sec
b110 sec
c100 sec
d90 sec
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q39
PYQ
A policeman follows a thief who is 600m ahead of the policeman. If the policeman and the thief run at speeds of 10 kmph and 8 kmph respectively, in how much time (in minutes), will the policeman catch the thief ?
a16
b14
c18
d12
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q40
PYQ
A goods train 350 m long passes through a tunnel of length 1250 m in 80 seconds. What is the speed of the train?
a64 km/h
b56 km/h
c78 km/h
d72 km/h
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q41
PYQ
A constable Ram is 225 m behind a thief Somesh. Ram runs 50 m and Somesh runs 30 m in a minute. After how much time will the constable Ram catch the thief Somesh?
a15 minutes 11 seconds
b10 minutes 16 seconds
c11 minutes 15 seconds
d16 minutes 10 seconds
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q42
PYQ
Racer and racer run a race of on a circular track of length . Both complete one round in and , respectively. After how much time from the start will the faster person meet the slower person for the last time?
a2700 sec
b4000 sec
c2250 sec
d1800 sec
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q43
PYQ
Two trains and of lengths and , respectively, are running in the same direction on parallel tracks at and , respectively. How much time will the trains take to cross each other completely?
a86 seconds
b54 seconds
c32 seconds
d68 seconds
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q44
PYQ
Anand covers a certain distance in the first lag of 5 hours at the speed of 50 km/h. In the second lag, he increased the speed by 20% due to which he covered 20% extra distance than that of the first lag. He covered the third lag at the average speed of the first two lags and covered extra distance than that of the second lag distance. How much total time (in hours) did he take to complete all three lags?
a16
b15
c18
d14
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q45
PYQ
In a circular path of 600 m, Pankaj and Rohit start walking in opposite directions from the same point at the speeds of 2.85 m/s and 5.4 km/h respectively. After how many minutes will they meet for the first time? (Rounded off to one decimal point)
a3.2
b2.3
c2.7
d4.7
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q46
PYQ
Vipin travels one-third of the distance of a journey at a speed of 30 km/h and the remaining distance at a speed of 40 km/h. If he took a total of 12 hours to complete the journey, what was the total distance (in km) of the journey?
a432
b450
c445
d412
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q47
PYQ
A policeman chasing a thief is behind the thief. The speed of thief is of the speed of the policeman and policeman catches him in 12 minutes. What is the speed of the thief (in ?
a10
b12.5
c15
d7.5
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q48
PYQ
A train traveling at 70 km/h crosses another train traveling in the same direction at 34 km/h in 25 seconds. What is the combined length of both the trains (in metres)?
a225
b250
c325
d500
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q49
PYQ
A thief steals an item and escapes, running at 20 km/h. A policeman arrives at the spot of the crime after 6 minutes and immediately starts chasing the thief. 24 minutes after the policeman started to chase the thief, there is still a gap of 400 m between the two. At what distance from the spot of crime would the policeman catch up with the thief, and what is the speed at which the policeman ran?
a15 km; 25 km/h
b14.4 km; 24 km/h
c10 km; 25 km/h
d12 km; 24 km/h
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q50
PYQ
In linear race, beats by 120 metres or . What is the time taken by to cover the race?
a220 sec
b250 sec
c235 sec
d240 sec
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q51
PYQ
As part of his journey, a person travels 120 km at 80 km/h, the next 100 km at 40 km/h,and comes back to the starting point at 75 km/h. The average speed of the person throughout the journey (approximately) is:
a63.46 km/h
b58.74 km/h
c68.15 km/h
d49.58 km/h
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q52
PYQ
A thief steals an item and escapes, running at a speed of 15 km/h. A policeman arrives at the spot of the crime after 4 minutes and immediately starts chasing the thief. 16 minutes after the policeman started to chase the thief; there is still a gap of 200 m between the two. At what distance from the spot of the crime will the policeman catch up the thief and what is the speed (in km/h) of the policeman?
a5.5 km; 16.5
b6 km; 18
c6.5 km; 19.5
d5 km; 15
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q53
PYQ
Jehangir had to cover a distance of 90 km in an hour. During the first 25 minutes he travelled at a speed of 15.2 metres per second. How many metres did Jehangir cover per second during the remaining period to reach his destination just on time?
a30.8
b32.5
c32
d31.2
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q54
PYQ
A policeman saw a thief at a distance of 400 m. The thief started running at a speed of 10 km/h and the policeman chased him at a speed of 12 km/h in the same direction. At what distance from the starting point will the policeman catch the thief ?
a2.4 km
b3 km
c2 km
d2.8 km
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q55
PYQ
In a circular race of 4225 m , X and Y start from the same point and at the same time at speeds of 54 km/h and 63 km/h When will they meet again for the first time on the track when they are running in the opposite direction?
a140 seconds
b150 seconds
c130 seconds
d120 seconds
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q56
PYQ
A train 900m long is running at 108 km/h. How long will it take to clear a 900 m long platform completely?
a60 s
b45 s
c30 s
d18 s
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q57
PYQ
Reshma covers 45 km at a speed of 15 km/h by bicycle, 80 km at a speed of 40 km/h by car, and another 6 km at a speed of 2 km/h on foot. Find her average speed for the whole journey (correct to 2 decimal places).
a16.38 km/h
b43.50 km/h
c18.36 km/h
d15.25 km/h
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q58
PYQ
A cyclist rides in 120 minutes and rides another in 150 minutes. What is the average speed of the cyclist, in ?
a15
b11
c10
d12.5
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Practice more SSC CGL Quantitative Aptitude PYQs
Browse every Quantitative Aptitude chapter, or explore the full SSC CGL question bank.