SOLUTION: After 5 hours of painting, Jess asked the assistance of Jon. Together they finished the job in 4 more hours. Had Jon joined in an hour after Jess started working, the job would hav
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Question 631013: After 5 hours of painting, Jess asked the assistance of Jon. Together they finished the job 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 josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Jess's rate of painting in jobs/hr
Let = Jon's rate of painting in jobs/hr
--------------
In 5 hours Jess gets fraction of the job done
In 1 hour jess get fraction of the job done
--------------
given:
(1) ( 1 means the whole job is done )
(2)
---------------------------
(1)
(2)
-------------------
Multiply both sides of (1) by
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)
This means Jess can paint 3 houses in 31 hrs
He could paint the house alone in 10 hrs and 20 min
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
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