A 10 H.P. motor pumps out water from a well of depth 20 m and fills a water tank of volume 22380 litres at a height of 10 m from the ground. The running time of the motor to fill the empty water tank is (`g=10ms^(-2)`)

Options

A. 5 minutes
B. 10 minutes
C. 15 minutes
D. 20 minutes

Answer

C

Explanation

Volume of water to raise = 22380 l= `22380 xx 10m`
`P= (mgh)/(t)= (V rho gh)/(t) rArr t= (V rho gh)/(P)`
`t= (22380 xx 10^(-3) xx 10^(3) xx 10 xx 10)/(10 xx 746)= 15`min