SOLUTION: it takes james 2 hours longer to do certain job than it takes Philip. They worked together for 3 hours then philip left and james finished the job for one more hour. how long would

Algebra ->  Rate-of-work-word-problems -> SOLUTION: it takes james 2 hours longer to do certain job than it takes Philip. They worked together for 3 hours then philip left and james finished the job for one more hour. how long would      Log On


   

Question 1168925: it takes james 2 hours longer to do certain job than it takes Philip. They worked together for 3 hours then philip left and james finished the job for one more hour. how long would it take each of them to do the job alone? (1 variable only)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Time for Philip if alone, p
Time for James if alone, p+2

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worked together for 3 hours then philip left and james finished the job for one more hour.
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%281%2Fp%2B1%2F%28p%2B2%29%29%2A3%2B%281%2F%28p%2B2%29%29%2A1=1
3%2ARATETOGETHER%2B1%2ARATEONLYJAMES=1%2AJOB

3%2Fp%2B3%2F%28p%2B2%29%2B1%2F%28p%2B2%29=1

3%2Fp%2B4%2F%28p%2B2%29=1
3%28p%2B2%29%2B4p=p%28p%2B2%29
3p%2B6%2B4p=p%5E2%2B2p
7p%2B6=p%5E2%2B2p
p%5E2-5p-6=0
%28p-6%29%28p%2B1%29=0
The solution which works is highlight%28p=6%29

Philip would need 6 hours alone.
James would need 8 hours alone.