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

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

Tardigrade Admin · Accepted Answer

Power, P=( text Work done / text Time taken ) Here work done (=m g h) is same in both cases. ∴ (P1/P2)=(t2/t1)=(30 s /1 min )=(30 s /60 s )=(1/2)

Q. 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

1 : 3

2 : 1

3 : 1

1 : 2

Power, $P = \frac{Work done}{Time taken}$
Here work done $(= m g h)$ is same in both cases.
$∴ \frac{P _{1}}{P _{2}} = \frac{t _{2}}{t _{1}} = \frac{30 s}{1 m i n} = \frac{30 s}{60 s} = \frac{1}{2}$

Q. One coolie takes 1 minute to raise a suitcase through a height of 2m but the second coolie takes 30s to raise the same suitcase to the same height. The powers of two coolies are in the ratio