SOLUTION: working together 2 people can finish the job in 9 hours. One of the workers can do it 3 hours faster then other. how long would it take each person to do that job if they worked se
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Question 381909: working together 2 people can finish the job in 9 hours. One of the workers can do it 3 hours faster then other. how long would it take each person to do that job if they worked separately
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
be the number of hours worker A takes to do the job by himself. Then 
is the time it takes worker B, the faster worker.
If A can do the job in hours, he can do 
of the job in one hour. Likewise B can do 
of the job in 1 hour. Working together they can do:
of the job in one hour. But we also know that working together they can do 
of the job in one hour, so:
Just solve for to determine the time for A to do the job by himself and then subtract 3 to get how long it takes B to do it herself. The quadratic equation that you will have to solve does NOT factor, so use the quadratic formula.
John
My calculator said it, I believe it, that settles it
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