a group of four pumps is designed to fill a tank such that three pumps work at 2/3rd the rate of the fourth pump. if all 4 pumps work at the same time, they will fill the tank in what fraction of the time taken by the largest pump working alone?
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4th pump rates: R liters/hour
1stm, 2nd, 3rd pump filling rate: 2 R/3 liters/hour
for all four , the total filling rate: 3 * 2R/3 + R = 3 R liters/hour
Largest pump (1st or 2nd or 3rd) working along: R liters/hour
fraction of the time : R / 3R = 1/3
1stm, 2nd, 3rd pump filling rate: 2 R/3 liters/hour
for all four , the total filling rate: 3 * 2R/3 + R = 3 R liters/hour
Largest pump (1st or 2nd or 3rd) working along: R liters/hour
fraction of the time : R / 3R = 1/3
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