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A 10 H.P. motor is used to lift water from a well that is 20 m deep and deliver it into a tank of capacity 22380 litres placed 10 m above the ground. Taking g = 10 m/s², how long will the motor take to completely fill the empty tank?

1. 5 minutes
2. 10 minutes
3. 15 minutes
4. 20 minutes

Correct answer: 15 minutes

Solution

The motor's power allows it to lift water against gravity, and by calculating the total work done to lift the water to the tank and dividing it by the motor's power, we find that it takes 15 minutes to fill the tank.

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