If C Alone can Finish the Work in 40 Days :

A does half as much word as B, and C does half as much work as A and B together. If C alone can finish the work in 40 days, then together all will finish the work in

  1. 40/3 days
  2. 15 days
  3. 20 days
  4. 30 days
Anurag Mishra Professor Asked on 12th October 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) 40/3 days

    Explanation:-
    C does half as much as A and B together.
    Then, Let (A + B) takes be = X days
    Then, C takes to complete same work = 2X days.
    Now, that C takes 40 days.  (Given in the question)
    So 2X = 40.
    X = 20
    Now, (A + B) takes =  20 days,
    And, C takes 40 days,
    Then A+B+C takes = 1/20 + 1/40
    (2 + 1)/40
    = 3/40

    Then, A, B and C takes to complete the work = 40/3 days

    Hence, the answer is (1) 40/3 days.

    Anurag Mishra Professor Answered on 14th October 2015.
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