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Discussion :: Chain Rule

  1. 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

  2. A.

    9

    B.

    10

    C.

    11

    D.

    12

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    Workspace

    Answer : Option D

    Explanation :

    Let the required number of working hours per day be x.

    More pumps, Less working hours per day (Indirect Proportion)

    Less days, More working hours per day (Indirect Proportion)

     

    Pumps 4 : 3 :: 8 : x
    Days 1 : 2

     4 x 1 x x = 3 x 2 x 8

     x =\(\frac { (3*2*8) } { (4)} \)

     x = 12.


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