A motor pump lifts 6 tonnes of water from a well of depth 25 m to the first floor of height 35 m from the ground floor in 20 minutes. The power of the pump (in kW) is [`g = 10 m s^(-2)`]

Options

A. 6
B. 1.5
C. 12
D. 3

Answer

D

Explanation

m = 6 tonnes = 6000 kg,
h = 25 m + 35 m = 60 m,
`t = 20 "min" = 20 xx 60 s = 1200 S`
`"Power"= ("Work done")/( "time taken")= (mgh)/(20 xx 60)`
`= (6000 x10 xx 60 )/(1200)= 3000W= 3kW`