Ram and Shyam are climbing a tree. Ram weighs 50 kg and Shyam weighs 60 kg. Power expended by Ram and Shyam to climb the tree are in the ratio of 3:2. What is the ratio of time taken by Ram and time were taken by Shyam to climb the tree?

18:10

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10:18

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5:18

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Solution

The correct option is B
10:18

Work done = mgh

Power = $\frac{w o r k}{t i m e}$

$\frac{P_{1}}{P_{2}}$ = $\frac{m_{1} g h t_{2}}{m_{2} g h t_{1}}$

3:2 = $\frac{50 t_{2}}{60 t_{1}}$

$\frac{t_{1}}{t_{2}}$ = 10:18

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Ram and Shyam are climbing a tree. Ram weighs 50 kg and Shyam weighs 60 kg. Power expended by Ram and Shyam to climb the tree are in the ratio of 3:2. What is the ratio of time taken by Ram and time were taken by Shyam to climb the tree?

The correct option is B 10:18 Work done = mgh Power = worktime P1P2 = m1ght2m2ght1 3:2 = 50t260t1 t1t2 = 10:18

The correct option is B
10:18

Work done = mgh

Power = $\frac{w o r k}{t i m e}$

$\frac{P_{1}}{P_{2}}$ = $\frac{m_{1} g h t_{2}}{m_{2} g h t_{1}}$

3:2 = $\frac{50 t_{2}}{60 t_{1}}$

$\frac{t_{1}}{t_{2}}$ = 10:18