SOLUTION: Michael and Noel work together. They can paint the roof of a house in 7 days. If Michael alone can do the job in 4 days faster than Noel, how long will it take Noel to do the same

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Michael and Noel work together. They can paint the roof of a house in 7 days. If Michael alone can do the job in 4 days faster than Noel, how long will it take Noel to do the same       Log On


   

Question 1166268: Michael and Noel work together. They can paint the roof of a house in 7 days. If Michael alone can do the job in 4 days faster than Noel, how long will it take Noel to do the same job alone?
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Michael's rate, 1%2F%28n-4%29
Noel's rate, 1%2Fn
Combined, working together, 1%2F%28n-4%29%2B1%2Fn=1%2F7
Solve for n.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of days it takes Noel working by himself. Then is the number of days it takes Noel by himself.

In one day, Noel can accomplish of the work. In one day, Michael can accomplish . In one day, working together they can accomplish of the work. Add the two fractions expressed in terms of and set the sum equal to .

Solve for

John

My calculator said it, I believe it, that settles it


I > Ø