SOLUTION: if coleen were to paint her living room alone,it would take 8 hours.her sister fran could do the job in 9 hours. how long would it take them working together?

Question 922631: if coleen were to paint her living room alone,it would take 8 hours.her sister fran could do the job in 9 hours. how long would it take them working together?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
if coleen were to paint her living room alone,it would take 8 hours.her sister fran could do the job in 9 hours. how long would it take them working together?
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1/8=coleen's work rate
1/9=fran's work rate
let x=length of time it would take to finish the job working together
1/x=their work rate
..
1/8+1/9=1/x
9/72+8/72=1/x
17/72=1/x
x=72/17≈4.24
length of time it would take to finish the job working together=4.24 hrs
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