SOLUTION: Tom and Jane can clean the house together in 4 hours. When Tom works alone, it takes him an hour longer than it takes Jane alone. How long does it take Tom to clean the house alone

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Question 981556: Tom and Jane can clean the house together in 4 hours. When Tom works alone, it takes him an hour longer than it takes Jane alone. How long does it take Tom to clean the house alone?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Their rates
Tom, 1/(x+1)
Jane, 1/x
using x as the time for Jane to do the one job of "clean the house".

Both together, 4 hours for the job.
1%2F%28x%2B1%29%2B1%2Fx=1%2F4

LCD is x%28x%2B1%29.
Multiply both sides by x%28x%2B1%29, simplify and find x.