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Q.

A man $M_{1}$ of mass 80 kg runs up a staircase in 15 s. Another man $M_{2}$ also of mass 80 kg runs up the same staircase in 20 s. The ratio of the powers developed by them will be

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a

1

b

$\frac{16}{9}$

c

None of these

d

$\frac{4}{3}$

answer is B.

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Detailed Solution

Power P = $\frac{Work}{Time}$
Work done by both will be same.
Hence, $\frac{P_{1}}{P_{2}} = \frac{t_{2}}{t_{1}} = \frac{20}{15} = \frac{4}{3}$

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