Question 69

Two pipes X and Y can individually fill a tank in 48 and 72 minutes, respectively. If they
are opened simultaneously, how long will it take for the tank to fill?

Solution

Let the capacity of the tank be 144 units (LCM of 48 and 72)
Efficiency of Pipe X = 144/48 = 3 units per minute
Efficiency of Pipe Y = 144/72 = 2 units per minute
Total efficiency of both the pipes = 5 units per minute
Then, 144 units of tank will be filled in 144/5 = 28.8 minutes.


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