Three pipes A B and C can fill a tank from empty to full in 20 minutes 30 minutes and 10 minutes res...........

Quantitative Aptitude ( CCS) Pipes&cistern

Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 30 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions X, Y and Z respectively. What is the proportion of solution X in the liquid in the tank after 6 minutes ?

4/13

3/11

2/11

6/11

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Explanation:

Part filled by (A+B+C) in 6 minutes = 6(1/20 + 1/30 + 1/10) = 6 * 11/60 = 11/10.
Part filled by C in 6 minutes = 6/20.
Required ratio = (6/20 * 10/11) = 3/11.
.'. 3/11 proportion of solution X in the liquid in the tank after 6 minutes.