Ram and Shyam are climbing a tree. Ram weighs 50kg and Shyam weighs 60kg. 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 Shyam to climb the tree?

18:10

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10:18

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Solution

The correct option is B
10:18

Work done = mgh
$P o w e r = \frac{w o r k}{t i m e}$
$\frac{P_{1}}{P_{2}}$ = $\frac{m_{1} g h t_{2}}{m_{2} g h t_{1}}$

$3 : 2 = \frac{50 t_{2}}{60 t_{1}}$
$\frac{t_{1}}{t_{2}} = 10 : 18$

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Ram and Shyam are climbing a tree. Ram weighs 50kg and Shyam weighs 60kg. 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 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
$P o w e r = \frac{w o r k}{t i m e}$
$\frac{P_{1}}{P_{2}}$ = $\frac{m_{1} g h t_{2}}{m_{2} g h t_{1}}$

$3 : 2 = \frac{50 t_{2}}{60 t_{1}}$
$\frac{t_{1}}{t_{2}} = 10 : 18$