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  • Question
  • A does half as much work as Band 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 ?


  • Options
  • A. 17 + 4/7 days
  • B. 13 + 1/3 days
  • C. 15 + 3/2 days
  • D. 16 days

  • Correct Answer
  • 13 + 1/3 days 

    Explanation

    C alone can finish the work in 40 days.
    As given C does half as much work as A and B together
    => (A + B) can do it in 20 days
    (A + B)s 1 days wok = 1/20.
    A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)
    A's 1 day?s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]
    B's 1 days work = (1/20) x (2/3) = 1/30
    (A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40

    All the three together will finish it in 40/3 = 13 and 1/3 days.

  • Tags: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO

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