Multiple choice

Working together, A, B and C can complete a task in 12 days. A and B can do the task in 55 days and 66 days, respectively, if they work alone. In how many days can C do the task if he works alone?

  1. 22

  2. 44

  3. 20

  4. 40

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total work be 660 units. A = 660/55 = 12 units/day. B = 660/66 = 10 units/day. A+B+C = 660/12 = 55 units/day. C = 55 - 12 - 10 = 33 units/day. Time for C = 660/33 = 20 days.