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    Pipe A can fill a tank in 72 hours, while pipe B takes 125% time than A to fill the same tank. Find the time taken by both pipe A and B to fill 2/5th
    Question

    Pipe A can fill a tank in 72 hours, while pipe B takes 125% time than A to fill the same tank. Find the time taken by both pipe A and B to fill 2/5th of the tank?

    A.

    15 hours 

    B.

    12 hours 

    C.

    8 hours

    D.

    27 hours 

    E.

    16 hours 

    Correct option is E

    Time taken by pipe B to fill the tank = 72 ×5/4 = 90 hours
    Capacity of tank = 360 unit (LCM of 72 & 90)
    Efficiency of pipe A = 360/72=5 unit/hour
    Efficiency of pipe B = 360/90 = 4 unit/hour
    Required time =360 ×2/5×1/9=16 hours

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