Multiple choice

A can do a piece of work in 24 days. B can do the same work in 30 days and C in 40 days. A and C worked for 4 days and handed it to B. B worked for some days and handed it again to A and C 6 days before completing the work. For how many days did B work?

  1. 10 days

  2. 15 days

  3. 12 days

  4. 8 days

  5. 9 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total work = 120 (LCM of 24,30,40). A's rate = 5/day, B's rate = 4/day, C's rate = 3/day. A+C work for 4 days: 8×4=32 work. Remaining work = 120-32=88. A+C work for last 6 days: 8×6=48 work. So B must have done 88-48=40 work. At 4/day, B worked for 40/4=10 days.

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