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  4. One coolie takes 1 minute to raise a suitcase through a height of 2 m but the second coolie takes 30 s to raise the same suitcase to the same height. The powers of two coolies are in the ratio

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Q. One coolie takes $1$ minute to raise a suitcase through a height of $2\, m$ but the second coolie takes $30 \,s$ to raise the same suitcase to the same height. The powers of two coolies are in the ratio

NEETNEET 2013Work, Energy and Power

Solution:

Power, $P=\frac{\text { Work done }}{\text { Time taken }}$
Here work done $(=m g h)$ is same in both cases.
$\therefore \frac{P_{1}}{P_{2}}=\frac{t_{2}}{t_{1}}=\frac{30 s }{1 \min }=\frac{30 s }{60 s }=\frac{1}{2}$