Nine boys can complete a work in 360 days, 18 men can complete the same work in 72 days and 12 women can complete it in 162 days. In how many days, can 4 men, 12 women and 10 boys together, complete the work ?
Nine boys can complete a work in 360 days, 18 men can complete the same work in 72 days and 12 women can complete it in 162 days. In how many days, can 4 men, 12 women and 10 boys together, complete the work ?
Solution
✅ Correct Option: 2
Total work in boy-days = 9 x 360 = 3240; man-days = 18 x 72 = 1296; woman-days = 12 x 162 = 1944.
Combined rate of 4 men + 12 women + 10 boys (per day) = 4/1296 + 12/1944 + 10/3240.
Using LCM 19440: 60/19440 + 120/19440 + 60/19440 = 240/19440 = 1/81.
So they finish in 81 days.
Related questions:
2022: 26 Aug Shift 1