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Discussion :: Time and Work

  1. A can finish a work in 6 days and B can finish the same work in 8 days. A and B charge Rs. 2800 for the work. If with the help of C they complete the work in 3 days, how much they will pay to C?
  2. A.
    Rs. 350
    B.
    Rs. 345
    C.
    Rs. 340
    D.
    Rs. 320

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    Workspace

    Answer : Option A

    Explanation :

    A's one hour work = 1
                                  6

    B's one hour work = 1
                                  8

    (A +B)'s one hour work = 1 + 1 = 7
                                         6    8   24

    (A+B+C)'s one day work = 1
                                           3

    Therefore, C's one day work = 1 - 7 = 1
                                                3    24   24

    The ratio of A, B and C's wages will be equal to the ratio of work done by them in one day.

    A's wages: B's wages: C's wages = 1 : 1 : 1
                                                       6    8  24

    C's share of three days = 3 * C's share for one day

    = 3 ∗ (1 ∗ 2800) = 350
             24


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