SOLUTION: It takes Greg 45 minutes to rake the leaves around his house. When Peter helps him, the total time it takes is 1/3 of the time it would have taken Peter by himself. How long would

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes Greg 45 minutes to rake the leaves around his house. When Peter helps him, the total time it takes is 1/3 of the time it would have taken Peter by himself. How long would       Log On


   

Question 1077598: It takes Greg 45 minutes to rake the leaves around his house. When Peter helps him, the total time it takes is 1/3 of the time it would have taken Peter by himself. How long would it take Peter to rake the leaves by himself?
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
The time for Peter to do the raking job himself, p.

Rate for Peter, 1%2Fp.

1%2F45%2B1%2Fp=1%2F%28%281%2F3%29p%29------The literal translation of the description

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1%2F45%2B1%2Fp=3%2Fp
Multiply both sides by 45p.

p%2B45=45%2A3
p=45%2A2
highlight%28p=90%29------MINUTES