Multiple choice

A, B and C can individually complete a piece of work in 24 days, 15 days and 12 days respectively. B and C started the work and worked for 3 days and left. The number of days required by A alone to complete the remaining work, is:

  1. 11

  2. 15.5

  3. 18

  4. 66/5
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total work = LCM(24, 15, 12) = 120 units. A does 5 units/day, B does 8 units/day, C does 10 units/day. B and C together do 18 units/day for 3 days = 54 units. Remaining work = 120 - 54 = 66 units. A alone needs 66/5 = 13.2 days = 66/5 days.

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