First slide

Power

Question

A 60 kg man runs up a staircase in 12 seconds while a 50 kg man runs up the same staircase in 11, seconds, the ratio of the rate of doing their work is

Moderate

A

6 : 5
B

12 : 11
C

11 : 10
D

10 : 11

Solution

$P = \frac{mgh}{t} \Rightarrow \frac{P_{1}}{P_{2}} = \frac{m_{1}}{m_{2}} \times \frac{t_{2}}{t_{1}}$ (As h = constant)
$∴ \frac{P_{1}}{P_{2}} = \frac{60}{50} \times \frac{11}{12} = \frac{11}{10}$

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