How much water per minute a pump of power 2 kW can raise to a height of 10 m?

Question

How much water per minute a pump of power 2 kW can raise to a height of 10 m? (g = 10 m/s²) [Ans. 1200 kg] 

Answer

Power (P) = 2 kW = 2000 W

Time (t) = 1 min =  60 s

Height (h) = 10 m

Step 1: Calculation of Work

Work (W) = m×g×h

= 10 × 10 × m

= 100 m

Power (P) = Work\over time

or, 2000 =  100 m\over 60

or, 100 m\over 60 = 2000

or, m = 2000 × 60\over 100

or, mass (m) = 1200 Kg