Iift 2019 Question 20
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IIFT
Let the capacity of the cistern be LCM of 12 and 15 = 60l
The rate of flow through the inlet pipe 1 = 60/12=5 l/min
The rate of flow through the inlet pipe 2 = 60/15=4 l/min
It is given that despite leakage the two inlet pipes together can fill the cistern in 20 min.
Let the flow through the leakage be x l/min
(5+4-x)20=60
9-x=3
x=6
The leakage will empty the cistern in 60/6=10 min
A is the correct answer.