In How Many Days B could do the Work Alone? If

A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is complete after 2 more days, B alone could do the work in how many days?

  1. 5
  2. 6
  3. 7
  4. 10
vijay Professor Asked on 1st August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 6
    Explanation:-
    A and B can complete a work = 3 days
    Therefore, A  and  B can do work in a day = 1/3

    They can do together work in 2 days = 2/3
    Remaining work = 1 – 2/3
    = 1/3
    Then, A complete the remaining work = 2 days
    Therefore, A can whole work complete = 2 x 3 = 6 days
    Then, A can work in a day = 1/6
    Therefore, B can work in a day = 1/3 – 1/6
    = (2 – 1)/6
    = 1/6
    Then, B can complete the work = 6 days.
    Hence, the answer is (2) 6 days.

    Anurag Mishra Professor Answered on 2nd August 2015.
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