3 men and 5 women can do the job in 3 days. In how many days 1 man and 2 women can complete the work.
Answers
Given : 3 men and 5 women can do the job in 3 days.
To Find : In how many days 1 man and 2 women can complete the job
Solution:
3 men and 5 women can do the job in 3 days.
=> Total Work = 3*3M + 3*5W
= 9M + 15W
Let say in x days 1 man and 2 women can complete the job
=> X(M + 2W) = 9M + 15W
=> X(M + 2W) = (9M + 18W) - 3W
=> X(M + 2W) = 9(M + 2W) - 3W
=> X = 9 - 3W/(M + 2W)
Hence less than 9 Days
X(M + 2W) = 9M + 15W
=> X(M + 2W) = (7.5M + 15W) + 1.5M
=> X(M + 2W) = 7.5(M + 2W) + 1.5M
=> X = 7.5 + 1.5M/(M + 2W)
More than 7.5 Days
1 man and 2 women can complete the job
in between 7.5 and 9 Days depending upon their efficiency
if their efficiencies are considers Equal then M = W
X = 9 - 3W/(M + 2W) = 9 - 3M/(3M) = 8 days
X = 7.5 + 1.5M/(M + 2W) = 7.5 + 1.5M/3M = 8 days
1 man and 2 women can complete the job
in between 7.5 and 9 Days depending upon their efficiency
8 days will be taken if Their efficiencies are considered Equal.
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