The one-day work of 2 men is equal to the one-day work of 4 women or the one-day work of 8 qualified workers. 10 qualified workers can finish the work in 8 days. If a man, a woman, and a qualified worker work in the same order on three different days, the work is finished in ____ days.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. .
1 day work of 10 qualified workers = 1/80
1 day work of 1 man = 4 × 1/80 = 1/40
1 day work of 1 woman = 1/40
Work on 3 days = 1/20 + 1/40 + 1/80 = 7/80
Number of full 3-day cycles = 80/7 = 11 cycles = 33 days
Work done in 33 days = 11 × 7/80 = 77/80
Remaining work = 1 - 77/80 = 3/80
Next worker (man) does 1/20 per day
Time = 3/80 ÷ 1/20 = 3/4 day
Total time = 33 + 3/4 = days