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

Algebra ->  Rate-of-work-word-problems -> 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      Log On


   

Question 1087826: 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: How would you represent the amount of work that Mark can finish in 1 hour? How about the amount of work that Jessie can finish in 1 hour?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
Mark needs x hours to do the job alone.
Jessie needs x+5 hours to do the same.

1%2F%28x%2B5%29%2B1%2Fx=1%2F6

Answer by MathTherapy(10858) 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: How would you represent the amount of work that Mark can finish in 1 hour? How about the amount of work that Jessie can finish in 1 hour?
If Mark can complete the work in M hours, then in 1 hour, he and Jessie can complete the work in: 

If Jessie can complete the work in J hours, then in 1 hour, he and Mark can complete the work in: 

So, for Mark, it can either be: highlight_green%28matrix%281%2C3%2C+1%2FM%2C+or%2C+1%2F%28J+-+5%29%29%29

For Jessie, it can either be: highlight_green%28matrix%281%2C3%2C+1%2FJ%2C+or%2C+1%2F%28M+%2B+5%29%29%29