A 60 kg nbsp; man runs nbsp; up a stai

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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

A

$6:5$

B

$12;11$ 

C

$11:10$

D

$10:11$ 

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

$P = \frac{{mgh}}{t}$ $⇒$ $\frac{{{P_1}}}{{{P_2}}} = \frac{{{m_1}}}{{{m_2}}} \times \frac{{{t_2}}}{{{t_1}}}$ (As $h$  = constant)
$\frac{{{P_1}}}{{{P_2}}} = \frac{{60}}{{50}} \times \frac{{11}}{{12}} = \frac{{11}}{{10}}$