3 men can finish the work in 10 days, 4 women can finish it in 12 days, and 10 qualified workers can finish it in 6 days. In how many days will the work be finished by 4 men, 4 women, and 4 qualified workers, working together every day?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. .
3Men → 10 days
1Men → 30 days
4Women → 12 days
1Women → 48 days
10 qualified workers → 6 days
1 qualified worker → 60 days
Total work = LCM (30, 48, and 60) = 240
Work done by 1 men in 1 day = 240/30 = 8 units
Work done by 1 women in 1 day = 240/48 = 5 units
Work done by 1 qualified worker in 1 day = 240/60 = 4 units
Total work in 1 day = 8 + 5 + 4 = 17 units
Work done by 4 men, 4 women, and 4 qualified workers = 4 × 17 = 68
Time taken = =