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Discussion :: Time and Work

  1. A, B, and C together earn Rs 1350 in 9 days. A and C together earn Rs 470 in 5 days. B and C together earn 760 in 10 days. Find the daily earning of C.
    2. A.
    25
    B.
    20
    C.
    12
    D.
    15

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    Answer : Option B

    Explanation :

    ATQ, (A+B+C) earn 1350 in 9 days
    Or, (A+B+C)'s one day earning = 1350/9 = 150....... (i)

    Similarly, (A+C)'s one day earning = 470/5= 94...... (ii)

    (B+C)'s one day earning = 760/10 = 76........ (iii)

    Now, put the value of (B+C) from equation iii, in equation i

    A + 76 =150
    A's one day earning = 150-76 =74

    Now put A's one day earning in eq. ii

    A + C = 94
    C = 94-74 = 20

    Hence, C earns 20 Rs per day.

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