Avi can finish a piece of work in 6 days, Avni can finish it in 8 days, Aarti can do it in 12 days and Reeta can do it in 16 days. They all decided to work one by one, Avi starts the work and works for one-fourth of a day, then Avni works for one-fourth of a day, then Aarti works for one-fourth of a day and then Reeta works for the remaining one-fourth of a day. The cycle is repeated till the work finished. Who was working when the work finished?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Avi.
Work per 1/4 day:
Avi = 1/24
Avni = 1/32
Aarti = 1/48
Reeta = 1/64
1 cycle total work = 1/24 + 1/32 + 1/48 + 1/64 = 7/64
Full cycles in 1 work = 64/7 ≈ 9.14
⇒ 9 full cycles = 63/64 work done
Remaining = 1/64
Next turn: Avi
Avi can do 1/24 > 1/64 ⇒ He completes it