neya wrote:4 men,3women finish a job in 6 days and 5men,7women can do the same work in 4 days.How long will 1 men and 1 women take to do the work?
1.22(2/7)days
2.25(1/2)days
3.5(1/7) days
4.12(7/22) days
Since 4 men + 3 women take 6 days to complete the job, 8 men + 6 women will take 3 days to complete the job.
When 8 men + 6 women are combined with 5 men + 7 women, the number of workers will be 13 men + 13 women, who will be able to produce 13 times the number of units as 1 man + 1 woman.
Let the job = LCM of 3,4, and 13 = 156 units.
Rate for 8 men + 6 women = w/t = 156/3 = 52 units per. day.
Rate for 5 men + 7 women = w/t = 156/4 = 39 units per day.
Rate for 13 men + 13 women = 52+39 = 91 units per day.
Thus, rate for 1 man + 1 woman = 91/13 = 7 units per day.
Time for 1 man + 1 woman = w/r = 156/7 ≈ 22.
The correct answer is
A.
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