vaibhav101 wrote:3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?
A 7
B 8
C 12
D 15
E none of these
Let the rate for each child = 1 unit per day.
Since each child does half the work of a man, the rate for each man = 2 units per day.
Since each woman does double the work of a man, the rate for each woman = 4 units per day.
Combined rate for 3 men, 4 women and 6 children = (3*2) + (4*4) + (6*1) = 28 units per day.
Over 7 days, the amount of work produced by 3 men, 4 women and 6 children = rt = 7*28 units.
To complete the job in 7 days, the required rate = w/t = (7*28)/7 = 28 units per day.
Since each woman produces 4 units per day, the number of women required to produce 28 units per day = 28/4 = 7.
The correct answer is
A.
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