Time and Distance Series and Problem on Trains
5 solved SSC CGL Quantitative Aptitude previous year questions on Time and Distance Series and Problem on Trains, each with the correct answer and a full explanation.
Q1
A train runs first 75 km at a certain uniform speed and next 90 km at an average speed of 10 km/h more than the normal speed. If it takes 3 hours to complete the journey, then how much time will the train take to cover 300 km with normal speed?
✓ Correct answer: b) 6 hours
ExplanationA train runs first 75 km at a certain uniform speed and the next 90 km at an average speed of 10 km/h more than the normal speed.Let, the normal speed of the train = x km/hr x = - 5 OR x = 50 Speed can not be negative Therefore, x = 50 Hence, normal speed of train = 50 km/hr Time will the train take to cover 300 km with normal speed = Hence, Option B is the correct answer.
Q2
A train covers 450 km at a uniform speed. If the speed had been 5 km/ h more, it would have taken 1 hour less to cover the same distance. How much time will it take to cover 315 km at its usual speed?
✓ Correct answer: d) 7 h
ExplanationLet, the speed of the train = x km/hr We know that: Time = According to the question, 2250 = x2 + 5x x2 + 5x – 2250 = 0 x2 + 50x – 45x – 2250 = 0 x(x + 50) -45(x + 50) = 0 (x - 45)(x + 50) = 0 x = 45, -50 The speed of the train = 45 km/hr Therefore, required time to cover 315 km at its usual speed = = 7 hours.Hence, Option D is the correct answer.
Q3
A 240 m long train overtakes a man walking at 6 km/h, in the same direction, in 9 seconds. How much time (in seconds) will it take to pass a 372 m long tunnel with the same speed?
✓ Correct answer: d) 21.6
ExplanationA 240 m long train overtakes a man walking at 6 km/h, in the same direction, in 9 seconds.Let, speed of the train = x km/hr Speed of train = 102 km/hr Now, we will find out the time (in seconds) taken by train to pass a 372 m long tunnel with the same speed.Time = Hence, Option D is the correct answer.
Q4
A train running at 72 km/h crosses a pole in 12 seconds. How much time (in seconds) will it take to cross a bridge 360 m long?
✓ Correct answer: b) 30
ExplanationGiven: Speed = 72 km/h = 72 × m/s = 20 m/s The train takes 12 seconds to cross the pole, therefore, Length of the train = 20 ×12 = 240 m Now, time taken by train to cross a bridge of 360 m = = 30 seconds Hence, Option B is the correct answer.
Q5
A runner completes a 10 km race in 45 minutes. If they increase their speed by 2 km/h for a second race of the same length, how much less time (apparently) will it take them to finish?
✓ Correct answer: b) 6 minutes
ExplanationOriginal speed: .Increased speed: .Time at increased speed: .Time saved: .Correct answer: 6 minutes
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