Question

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

• A. 1 : 3
• B. 2 : 1
• C. 3 : 1
• D. 1 : 2

Answer 1

Answer: (D)

1 : 2

Answer 2

Power, P =$\frac{Work \, done }{Time \, taken }$
Here work done (= mgh) is same in both cases.
$\therefore \, \, \, \, \frac{P_1}{P_2}=\frac{t_2}{t_1}=\frac{30 s}{1 \, min}=\frac{30 s}{60 s}=\frac{1}{2}$.