SOLUTION: A project can be done by 8 girls in 5 days. 5 boys can do the same project in 6 days. How long will it take for 3 boys and 6 girls to do the job?

Question 483521: A project can be done by 8 girls in 5 days. 5 boys can do the same project in 6 days. How long will it take for 3 boys and 6 girls to do the job?

Answer by emargo19(101) (Show Source): You can put this solution on YOUR website!
8 girls can do it in 5 days, so 1 girl can do it in 40 days.
So each girl's rate is 1 job per 40 days or job/day
5 boys can do it in 6 days, so 1 boy can do it in 30 days.
So each boy's rate is 1 job per 30 days, or job/day.
3 boy's combined rate is or jobs/day
6 girl's combined rate is or jobs/day.
Let x be the number of days for 3 boys and 6 girls to do the job.
Then in those x days, the boys do x of the job and the girls
do x of the job. That must add to 1 job so the equation is
x + x = 1
Multiply through by 20
2x + 3x = 20
5x = 20
x = 4 days

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