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Power

Question

A 1.0 HP motor pumps out water from a well of depth 20m and fills a water tank of volume 2238 litres at a height of 10m from the ground. The running time of the motor to fill the emptytank is (g = 10 ms^-2)

Moderate

A

5 min
B

10 min
C

15 min
D

20 min

Solution

P = 746 w
$\large t = \frac{{mgh}}{p} = \frac{{(V\rho )gh}}{P} = \frac{{2238 \times {{10}^{ - 3}} \times {{10}^3} \times 10 \times 30}}{{746}}$
t = 15 min

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