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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.

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