SOLUTION: John takes 8 hours to paint his room. After working for one hour, he called a painter to help him. Working together, they finished the job in 3 more hours. How long would it take f

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Question 1188324: John takes 8 hours to paint his room. After working for one hour, he called a painter to help him. Working together, they finished the job in 3 more hours. How long would it take for the painter to finish the job if he had worked alone?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
John takes 8 hours to paint his room. After working for one hour, he called a painter
to help him. Working together, they finished the job in 3 more hours.
How long would it take for the painter to finish the job if he had worked alone?
~~~~~~~~~~~~~~~~~~

Notice that John worked, in all, 1 + 3 = 4 hours;  hence, John made half of the entire lob.


The helper made the other half of the job working 3 hours.


Hence, this helper could make the entire job in 6 hours, working alone.    ANSWER

Solved.

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Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
John's rate is 1%2F8 jobs per hour.
Painter's rate is 1%2Fp jobs per hour.

John and the painter needed three more hours to do the whole job.
1%2F8%2B3%281%2F8%2B1%2Fp%29=1
.
.
highlight%28p=6%29