Two pipes A and B can fill a tank in 24 minutes and 36 minutes another pipe C can empty the filled t...........

Quantitative Aptitude(IBPS RRB PO) Pipes&cistern

Two pipes A and B can fill a tank in 24 minutes and 36 minutes. another pipe C can empty the filled tank in 18 minutes. All three pipes A, B and C are alternately open for 1minute each in the empty tank such that pipe A is open first then pipe B and then pipe C. In what time the tank will be filled?

201

203

198

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Explanation:

Let the total capacity = 72 units (LCM of 24, 36 and 18)
Efficiency of A =72/24 = 3
Efficiency of B =72/36 = 2
Efficiency of C = –72/18 = –4
Number of units filled in 3 minutes = 3 + 2 – 4 = 1
So, 72 – 5 = 67 unit will be filled in 67 × 3 = 201 minutes
Remaining 5 units will be filled in the next 2 minutes
Hence, the total time = 201 + 2 = 203 minutes.