Question 95

9 children can complete a piece of work in 360 days, 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work ?

Solution

Let the speed of child, man and woman to complete work W be x,y and z respectively.
Therefore, as per given conditions
x = W/3240
y= W/1296
and z = W/1944
Now, the combined speed of 4 men, 12 women and 10 children = 4y+12z+10x = W/81
Now, number of days = W/(W/81) = 81 days
The correct option is option B

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9 children can complete a piece of work in 360 days, 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work ?

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