Multiple choice

A can do a piece of work in 36 days. B can complete the same work in 24 days whereas C can complete this work in 48 days. A started the work and after 12 days leave the work, then B work for next 6 days and left the job for C. In how many days C can finish the remaining work?

  1. 16

  2. 18

  3. 20

  4. 22

  5. 24
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A's rate = 1/36 per day. In 12 days, A completes 12/36 = 1/3. Remaining = 2/3. B works 6 days at 1/24 per day = 6/24 = 1/4. Remaining = 2/3 - 1/4 = 5/12. C's rate = 1/48 per day. Time = (5/12) / (1/48) = (5/12) × 48 = 20 days.

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