Multiple Choice Questions on Three pipes A B and C were opened to fill a cistern Working alone A B and C require 12 15 and 20 min........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

Three pipes A B and C were opened to fill a cistern Working alone A B and C require 12 15 and 20 min...........

Quantitative Aptitude ( CCS) Pipes&cistern
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    Three pipes A, B and C were opened to fill a cistern. Working alone, A, B and C require 12, 15 and 20 minutes respectively. Another pipe D, which is a waste pipe, can empty the filled tank in 30 minutes working alone. What is the total time (in minutes) taken to fill the cistern if all the pipes are simultaneously opened ?

    5

    Incorrect Answer

    6

    Correct Answer

    7

    Incorrect Answer

    8

    Incorrect Answer
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    Explanation:

    Let the capacity of the cistern be LCM(12, 15, 20, 30) = 60 units.

    = Efficiency of pipe A = 60 / 12 = 5 units / minute

    = Efficiency of pipe B = 60 / 15 = 4 units / minute

    = Efficiency of pipe C = 60 / 20 = 3 units / minute

    = Efficiency of pipe D = 60 / 30 = 2 units / minute

    = Combined efficiency of pipe A, pipe B, pipe C and pipe D = 10 units / minute

    Therefore, time required to fill the cistern if all the pipes are opened simultaneously = 60 / 10 = 6 minutes

    Hence, option 2 is the correct answer.

    By: Amit Kumar
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