SOLUTION: Jessie and Mark are planning to paint a house together. Jessie thinks that if he works alone, it would take him 5 hours more than the time Mark takes to paint the entire house. Wor

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Question 1087825: Jessie and Mark are planning to paint a house together. Jessie thinks that if he works alone, it would take him 5 hours more than the time Mark takes to paint the entire house. Working together, they can complete the job in 6 hours.
QUESTION: If Mark can finish the job in m hours, how long will take it take jessie to finish the job?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28m%2B5%29%2B1%2Fm=1%2F6

6m%2B6%28m%2B5%29=m%28m%2B5%29
6m%2B6m%2B30=m%5E2%2B5m
12m%2B30=m%5E2%2B5m
m%5E2-7m-30=0
%28m-10%29%28m%2B3%29=0
-
highlight%28m=10%29------time for Mark working alone, hours.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Jessie and Mark are planning to paint a house together. Jessie thinks that if he works alone, it would take him 5 hours more than the time Mark takes to paint the entire house. Working together, they can complete the job in 6 hours.
QUESTION: If Mark can finish the job in m hours, how long will take it take jessie to finish the job?
Jessie completes the job in: highlight_green%28matrix%281%2C2%2C+15%2C+hours%29%29