Multiple choice

Aman takes 8 days to complete a task. Balkrishan takes 16 days and Chetan takes 24 days to complete the same task. Aman works on the first day and then leaves. Then, Balkrishan and Chetan start working on the task. Balkrishan leaves four days before the task is completed and Chetan is left to complete it. How long will they take to complete the task?

  1. 6.8 days

  2. 7.8 days

  3. 11.8 days

  4. 13.8 days

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total work = 48 units. Rates: A=6, B=3, C=2. Day 1: A works (6 units). Remaining = 42. Let total time be T. B and C work for T-1 days. B leaves 4 days before end, so B works for T-5 days. C works for T-1 days. 3(T-5) + 2(T-1) = 42. 3T - 15 + 2T - 2 = 42. 5T = 59. T = 11.8.

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