SOLUTION: : 5 man and 7 woman and 8 children can complete a work in 20 day and they work for 5 hours per day.how many days required to complete same work if 7 man 9 woman and 10 children wor

Question 739967: : 5 man and 7 woman and 8 children can complete a work in 20 day and they work for 5 hours per day.how many days required to complete same work if 7 man 9 woman and 10 children work together they work for 7 hours ina day
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
INTERPRETATION:
If the only available information is that a group consisting of 5 men, 7 women and 8 children can complete the work in 20 days working 5 hours per day, the problem cannot be solved. There is not enough information. We do not know how fast the women can work compared to the men, or how fast the children can work compared to the men and women.

The problem can be solved if the wording means that the work can be completed in 20 5-hour workdays by either a group of 5 men, or a group of 7 women, or a group of 8 children.

SOLUTION FOR THE SOLVABLE PROBLEM:
If 5 men can complete the work in 20 days working 5 hours per day ( total),
each man would complete of the work in 1 hour.
If 7 women would complete the work in 20 days working 5 hours per day (100 hours total),
each woman would complete of the work in 1 hour.
If 8 children can complete the work in 20 days working 5 hours per day (100 hours total),
each child would complete of the work in 1 hour.
If all of the above is true, the fraction of the job that a group made up of 7 men, 9 women, and 10 children would complete in 1 hour is

So to complete the work at the rate of jobs per hour they will need hours.
Working 7 hours per day, that time would amount to
days, which is approximately 3.8 days.
I would say that is 4 days.
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