📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      A and B together, B and C together and A and C

      together can complete a piece of work in 10 days, 14 days and 18 days respectively. Find the ratio of the efficiencies of A, B and C, respectively.
      A 53:73:17 Correct Answer Incorrect Answer
      B 41:19:14 Correct Answer Incorrect Answer
      C 26:29:4 Correct Answer Incorrect Answer
      D 41:25:47 Correct Answer Incorrect Answer

      Solution

      Let, the total work be 630 units (LCM of 10, 14 and 18)
      Amount of work done by A and B together in one day = 630/10 = 63 units
      Amount of work done by B and C together in one day = 630/14 = 45 units
      Amount of work done by A and C together in one day = 630/18 = 35 units
      Amount of work done by A, B and C together in one day = (63 + 45 + 35)/2 = 71.5 units
      Amount of work done by A alone in one day = 71.5 – 45 = 26.5 units
      Amount of work done by B alone in one day = 71.5 – 35 = 36.5 units
      Amount of work done by C alone in one day = 71.5 – 63 = 8.5 units
      So the desired ratio = 53:73:17

      Practice Next
      More Time and work Questions

      Relevant for Exams:

      ask-question