Three small pumps and one large pump are filling a tank. Each of the three small pump works at 2/3 of the rate of the large pump. If all four pumps work at the same time, they should fill the tank in what fraction of the time that it would have taken the large pump alone?
Explanation
As per the question,
Capacity of three small pumps = Capacity of two large pumps
Also, if we want to express the capacity of three small pumps + one large pump in terms of large pump, we should add one large pump on both sides of the above equation
If we add one large pump on both sides of the above equation, we get
Three small pumps + one large pump = Three large pumps
Thus, if all the four pumps are open together, they would fill the tank in rd of the time large pump would have taken alone.
Hence option B is correct.
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