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Discussion :: Time and Work

  1. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
    2. A.

    30 days
    B.

    40 days
    C.

    60 days
    D.

    70 days

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    Answer : Option C

    Explanation :

    Let A's 1 day's work = x and B's 1 day's work = y.

    Then, x + y =\(\frac { 1 } { 30 }\)and 16x + 44y = 1.

    Solving these two equations, we get: x =\(\frac { 1 } { 60 }\)and y=\(\frac { 1 } {60 }\)

     B's 1 day's work =\(\frac { 1 } {60 }\)

    Hence, B alone shall finish the whole work in 60 days.

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