# Rohan (mass 40 kg) and Sohan (mass 60 kg) climb the stairs of their school building to reach the first floor in the 40s and 60s, respectively. Let P1 and P2 be the power delivered in this task by Rohan and Sohan respectively. Which one of the following is correct?

Rohan (mass 40 kg) and Sohan (mass 60 kg) climb the stairs of their school building to reach the first floor in the 40s and 60s, respectively. Let P

_{1}and P_{2}be the power delivered in this task by Rohan and Sohan respectively. Which one of the following is correct?### Right Answer is:

P_{1} = 2P_{2}

#### SOLUTION

Given

Rohan mass M_{1} = 40 kg

Sohan Mass M_{2} = 60

Time taken by Rohan T_{1} = 40s

Time taken by Sohan T_{2} = 60s

Since both have to reach the first floor, therefore, height is same

Work = mgh

W_{1} = M_{1}gh = 40 J

W_{2} = M_{2}gh = 60 J

Power = Work/time

P_{1} = W_{1}/T_{1} = 40/40 = **1 J/S**

P_{2} = W_{2}/T_{2} = 60/60 =** 1J/S**

**Therefore P _{1} = P_{2}**