Ram and Shyam climbed a tree up to a same height. Ram weighs $50 k g$ and Shyam weighs $60 k g$ . Power consumed 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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10:18

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5:18

No worries! We‘ve got your back. Try BYJU‘S free classes today!

18:5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
10:18

Work done = Change in potential energy = $m g h$
$Power = \frac{work}{time}$
Let the power expended by Ram and Shyam be $P_{1}$ and $P_{2}$ respectively.
$\frac{P_{1}}{P_{2}}$ = $\frac{m_{1} g h t_{2}}{m_{2} g h t_{1}}$
$\Rightarrow \frac{3}{2} = \frac{50 t_{2}}{60 t_{1}}$
$\Rightarrow \frac{t_{1}}{t_{2}} = 10 : 18$

Suggest Corrections

Similar questions

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 3:2. What is the ratio of times taken by Ram and Shyam to climb the tree?

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?

Ram and Shyam are climbing a tree. Ram weighs $50 kg$ and Shyam weighs $60 kg$ . Power spent 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?

Q. Ram spent 1 rupee and 25 paise and Shyam spent 2 rupee and 75 paise. Find the ratio of money spent by Ram to that of Shyam

Q. Ram is

5 \frac{1}{4} feet

tall and Shyam height is

1 \frac{1}{7}

times of Ram. What is the height of Shyam ?

Join BYJU'S Learning Program

Ram and Shyam climbed a tree up to a same height. Ram weighs 50 kg and Shyam weighs 60 kg. Power consumed 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 = Change in potential energy = mgh Power=worktime Let the power expended by Ram and Shyam be P1 and P2 respectively. P1P2 = m1ght2m2ght1 ⇒32=50t260t1 ⇒t1t2=10:18

Ram and Shyam climbed a tree up to a same height. Ram weighs $50 k g$ and Shyam weighs $60 k g$ . Power consumed 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?