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Discussion :: Chain Rule

  1. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

  2. A.

    648

    B.

    1800

    C.

    2700

    D.

    10800

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    Answer : Option B

    Explanation :

    Let the required number of bottles be x.

    More machines, More bottles (Direct Proportion)

    More minutes, More bottles (Direct Proportion)

     

    Machines 6 : 10 :: 270 : x
    Time (in minutes) 1 : 4

     6 x 1 x x = 10 x 4 x 270

     x =\( \frac { (10*4*270) } { (6) } \)

     x = 1800.


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