Multiple Choice Question
Three pipes, A, B and C, can fill a tank from empty to full in 40 minutes, 20 minutes and 30 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 Q in the liquid in the tank after 9 minutes?
Explanation:
Rates: A = 1⁄40, B = 1⁄20, C = 1⁄30. Total rate = 13⁄120 per minute. In 9 minutes, total filled = 117⁄120 = 39⁄40. Amount by B in 9 minutes = 9 × 1⁄20 = 9⁄20. Proportion of Q = (9⁄20) ÷ (39⁄40) = 6⁄13.
