Multiple choice

A and B can do a piece of work in 6 days, B and C can do the same work in 8 days and A, B and C complete the same work in 4 days. In how many days can A and C finish the same work if they work together?

  1. 2 1 2

  2. 3 3 4

  3. 4 4 5

  4. 3 1 2

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A, B, C be rates. A+B = 1/6, B+C = 1/8, A+B+C = 1/4. C = (A+B+C) - (A+B) = 1/4 - 1/6 = 1/12. A = (A+B+C) - (B+C) = 1/4 - 1/8 = 1/8. A+C = 1/8 + 1/12 = 5/24. Time = 24/5 = 4.8 days, which is 4 4/5.

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