Multiple choice

A, B and C take a contract to do a piece of work. A can do it alone in 10 days. B can do it in 20 days and C can do it in 40 days. They work alternately. On the 1st day, A will do it alone, on the 2nd day, B will do it and on the 3rd day, C will do it alone and so on till the work is completed. Find the time in which work will be completed.

  1. 12 days

  2. 13.5 days

  3. 14 days

  4. 16.5 days

  5. 15 days

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

Work rates: A = 1/10, B = 1/20, C = 1/40 per day. In a 3-day cycle: A + B + C = 7/40. After 5 cycles (15 days): 35/40 done, remaining = 5/40 = 1/8. Day 16 (A): 1/10 = 4/40, remaining = 1/40. Day 17 (B): needs only 1/40 of 1/20 = 0.5 day. Total = 16.5 days. Option D is correct.