Multiple Choice Questions on If the pipes C D and L are opened when the tank is full and it takes 2 hours to empty the tank........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

If the pipes C D and L are opened when the tank is full and it takes 2 hours to empty the tank...........

Quantitative Aptitude ( CCS) Pipes&cistern
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    Directions (): Chart 1 shows the percentage of time taken to fill the tank (Total time = 60 minutes) and Chart 2 shows the time taken to empty the tank. Table 1 shows the capacity of water carried by the leak pipe. Study the charts and table and answer the below questions.

     If the pipes C, D and L are opened when the tank is full and it takes 2 hours to empty the tank. Find the capacity of the tank?

     154.87 litres

    Incorrect Answer

     34.98 litres

    Incorrect Answer

    89.68 litres

    Correct Answer

     80 litres

    Incorrect Answer

     None of these

    Incorrect Answer
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    Explanation:
    Let the time taken by leak pipe L to empty the tank be x
    Work done by the three pipes to empty the tank in a minute = 1/18 + 1/21 - 1/x
    It takes 2 hours i.e. 120 minutes to empty the tank
    Thus,
    (1/18 + 1/21 - 1/x) × 120 = –1
    ⇒ 6.666 + 5.714 - 120/x = –1
    ⇒ -120/x = – 13.38
    ⇒ x = 8.968 min
    Thus the total capacity of the tank = 8.968 × 10 = 89.68 litres

    By: Munesh Kumari
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