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

Options

A. `4/3`
B. `12/11`
C. `48/33`
D. `11/9`

Answer

D

Explanation

Power = `("work")/("time") = ("energy")/("time") = (mgh)/(t) = (Wh)/(t) `
(W = weight = mg)
`:. (P_1)/(P_2) = (W_1)/(W_2) xx (t_2)/(t_1) = 4/3 xx 11/12 = 11/9` (h is the same in both cases) .