Multiple choice

A and B can do a work in 8 days, B and C can do the same work in 12 days while A, B and C can do the same work in 6 days. In how many days will A and C do the same work?

  1. 4

  2. 6

  3. 8

  4. 12

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

Let A, B, C's 1-day work be a, b, c. From the given: a+b=1/8, b+c=1/12, a+b+c=1/6. Subtract third from first: c = 1/6 - 1/8 = 1/24. Subtract third from second: a = 1/6 - 1/12 = 1/12. Therefore, A+C together do 1/12 + 1/24 = 1/8 work per day, taking 8 days to complete.

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