Two men with weights in the ratio 4 : 3 run up a staircase in time in the ratio 12 : 11 . The ratio of the power of the first to that of second is

Step-by-step solution

Power = work time = energy time = mgh t = W ⁡ h ⁡ t ( W = weight ) ∴ P ⁡ 1 P ⁡ 2 = W ⁡ 1 W ⁡ 2 × t 2 t 1 = 4 3 × 1 1 1 2 = 1 1 9 ( h is same in both cases )