if 4 men and 5 women completes a work in 10 days, 6 men and 6 women complete the same work in 7 days then find two men and how many women will complete the same work in 14 days.
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To get the answer easily first find work rate (work/day) of a man. (Assume work =1)
So by this work rate of 4 men = 1/16 -> 1 man= 1/64,
similarly 6 women=1/16 -> 1 woman=1/96
Now we need to find time take by two men and 9 women that can be given as below:
work rate of 2 men and 9 women = (2/64)+(9/96) = (1/32)+(3/32)=4/32=1/8
So, 2 men and 9 women takes 8 days to complete the work.
So by this work rate of 4 men = 1/16 -> 1 man= 1/64,
similarly 6 women=1/16 -> 1 woman=1/96
Now we need to find time take by two men and 9 women that can be given as below:
work rate of 2 men and 9 women = (2/64)+(9/96) = (1/32)+(3/32)=4/32=1/8
So, 2 men and 9 women takes 8 days to complete the work.
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