Question

Sumit does 600 J of work in 10 min and Amit does 300 J of work in 20 min. Calculate the ratio of the powers delivered by them.

Answer 1

Sumit: Work done, w₁ = 600 J

Time taken, t₁ = 10 min = 600 sec

Power, p₁ = `w_1/t_1`

= `600/600`

= 1 W

Amit: Work done, w₂ = 300 J

Time taken, t₂ = 20 min = 1200 sec

Power, p₂ = `w_2/t_2`

= `300/1200`

= `1/4`

= 0.25 W

∴ Ratio of Powers = `p_1/p_2`

= `1/(1/4)`

= 4 : 1