The ratio of powers of two motors is \(\frac{3 \sqrt{x}}{\sqrt{x}+1}\), that are capable of raising \(300 \mathrm{~kg}\)…

The ratio of powers of two motors is \(\frac{3 \sqrt{x}}{\sqrt{x}+1}\), that are capable of raising \(300 \mathrm{~kg}\) water in 5 minutes and \(50 \mathrm{~kg}\) water in 2 minutes respectively from a well of \(100 \mathrm{~m}\) deep. The value of \(x\) will be

[JEE Main 2023, 13 Apr (Shift 1)]