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Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?

Correct answer: B. 6/11

  • A. 5/11
  • B. 6/11
  • C. 7/11
  • D. 8/11

Explanation

In 1 minute, pipes A, B and C supply 1/30, 1/20 and 1/10 tank respectively, so the total supply is 11/60 tank per minute. Solution R comes from C, so its proportion is (1/10)/(11/60) = 6/11, independent of the 3-minute duration. The likely wrong choice is 5/11, caused by using an incorrect total rate.

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