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An electric pump on the ground floor of a building takes 10 minutes to fill a tank of volume 30 m3 with water. If the tank is 60 m above the ground and the efficiency of the pump is 60%, how much electric power is consumed by the pump in filling the tank?

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a

80.33 KW

b

50 KW

c

63.33 KW

d

33.33 KW

answer is B.

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Detailed Solution

Mass of water delivered by the pump to the tank.m=30×1000/600 kg/sec=50 Kg/sec∴ Power out put of the pump = m.g.h=50×10×60W=30KW∴Power input=Power outputEfficiency=300.6KW=50KW

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An electric pump on the ground floor of a building takes 10 minutes to fill a tank of volume 30 m3 with water. If the tank is 60 m above the ground and the efficiency of the pump is 60%, how much electric power is consumed by the pump in filling the tank?