SOLUTION: After 5 house of painting, jess asked the assistance of jon and finished the work in 4 more hours. had jon joined in an hour after jess started working, the job would have been fin

Algebra ->  Rate-of-work-word-problems -> SOLUTION: After 5 house of painting, jess asked the assistance of jon and finished the work in 4 more hours. had jon joined in an hour after jess started working, the job would have been fin      Log On


   



Question 844829: After 5 house of painting, jess asked the assistance of jon and finished the work in 4 more hours. had jon joined in an hour after jess started working, the job would have been finished in 7 hours. How long would it have taken jess to paint the house alone.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
jess=x
jon =y
5+4=9 for jess 4 for jon
9/x+4/y=1,
1+7=8 for jess and 7 for jon
8/x+7/y=1
x = 31/3, y = 31
check
9/(31/3)+4/31=1
27/31+4/31=1
31/31=1
8/(31/3) +7/31=1
24/31+7/31=1
31/31=1
ok