SOLUTION: A paint job can be done by 10 men in 6 hours or by 18 boys in 4 hours. If only 5 men and 8 boys are available and all work together, how long would it take them to do the job?

Question 793634: A paint job can be done by 10 men in 6 hours or by 18 boys in 4 hours. If only 5 men and 8 boys are available and all work together, how long would it take them to do the job?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A paint job can be done by 10 men in 6 hours or by 18 boys in 4 hours.
that's 60 man-hrs, or 72 boy-hrs a can do the same job, therefore
60mh = 72bh
divide both sides by 12 h
5m = 6b
:
If only 5 men and 8 boys are available and all work together, how long would it take them to do the job?
let h = no. hrs required by this situation
From the above we know we can replace 5mh = 6bh
solve the equation using 72 bh to do the job
6h + 8h = 72
6h + 8h = 72
14h = 72
h = 72/14
h = 5.14 hrs for 5 men and 8 boys

RELATED QUESTIONS
A paint job can be done by 10 men in 6 hours or by 18 boys in 4 hours. If only five men... (answered by josgarithmetic)

If 6 men can harvest a field in 60 working hours, and a man works three times as fast as... (answered by Theo)

4 men and 10 boys can solve a task in 18 days . how many days will require to solve the... (answered by edjones)

Three men can individually do a job in 5, 6 and 7 hours respectively. What is the... (answered by Edwin McCravy)

Q1. if 2 men or 3 women or 6boys can do a piece o work in 70 days,in what time would 2... (answered by ankor@dixie-net.com,vvnrichards)

A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10... (answered by ikleyn,Edwin McCravy)

A boys' club decides to build a cabin. The job can be done by 3 skilled workmen in 4 days (answered by stanbon)

2 men and 4 boys can do a piece of work in 10 days, while 4 men and 5 boys can do it in... (answered by LinnW)

8 men OR 15 boys can do a job in 20 days. How many days will a group of 4 men and 5 boys... (answered by richwmiller)