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

10 H.P. =` 746xx 10 = 7460` Watt
Depth(d) = 20m
`V = 22380 L = 22380 xx10^(-3) m^3 , h = 10 m`
`P = (mgH)/t implies t = (VrhogH)/P=(22380 xx10^(-3)xx1000 xx10 xx30)/(7460)`
`=15` min