Pipe A can fill a tank in 6 hours. Pipe B can fill the same tank in 8 hours. Pipes A, B, and C together can fill the same tank in 12 hours. Then which of the following statements is true for pipe C?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. It can empty the tank in 4 hours 48 minutes
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Understanding |
Application |
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Given: Pipe A can fill a tank in 6 hours. Pipe B can fill the same tank in 8 hours. Pipe A, B and C together can fill the same tank in 12 hours. |
Total work = 24 units (LCM of 6, 8 and 12) Efficiency of A = 24/6 = 4 Efficiency of B = 24/8 = 3 Efficiency of (A + B + C) = 24/12 = 2 Hence, Efficiency of C = 2 – 4 – 3 = -5 Hence, C will be outlet pipe. Now C will empty the tank in 24/5 h (= 4 hours 48 minutes). |