Multiple Choice Questions on 12 boys working 3 hours a day can complete a work in 20 days How many hours a day must 18 boys work ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

12 boys working 3 hours a day can complete a work in 20 days How many hours a day must 18 boys work ...........

Quant (SSC) Time and work
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    12 boys, working 3 hours a day can complete a work in 20 days. How many hours a day must 18 boys work to complete the same work in 10 days?

    4 hrs

    Correct Answer

    18 hrs

    Incorrect Answer

    10 hrs

    Incorrect Answer

    12 hrs

    Incorrect Answer
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    Explanation:

    Let the required number of hours per day be z.
    Then,
    More boys, Less hours per day                                 (Indirect proportion)
    Less days, More hours per day                                 (Indirect proportion)
    Boys 18 : 12
                        :: 3 : z
    Days 10 : 20
    z  = 12 x 20 x 3 /18 x 10 = 4hrs.

    By: Amit Kumar
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