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Question 1038207: Paul can do a certain job in half the time that Jim requires to do it. Jim worked alone for an hour and stopped; then Paul completed the job in 10 hours. What length of time, in hours, would Paul, working alone, take to do the whole job?
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! Paul can do a certain job in half the time that Jim requires to do it.
Jim worked alone for an hour and stopped; then Paul completed the job in 10 hours. What length of time, in hours, would Paul, working alone, take to do the whole job?
Let jim take x hours to do the job
So he does 1/x of the job in 1 hour
Paul takes x/2 hours to do the job
so he does 2/x of the job in 1 hour
After jim worked for 1 hour balance job was
(1-1/x) = (x-1)/x
Paul does 2/x of the job in 1 hour
so he takes ((x-1)/x)/(2/x) hours to do the remaing job
((x-1)/x)/(2/x) = 10
(x-1)/x =5x
x-1=5
x= 4 No of hours Jim takes to complete the job
Paul will take 2 hours
Answer by MathTherapy(10555)  (Show Source):
You can put this solution on YOUR website!
Paul can do a certain job in half the time that Jim requires to do it. Jim worked alone for an hour and stopped; then Paul completed the job in 10 hours. What length of time, in hours, would Paul, working alone, take to do the whole job?
Working alone, Paul takes:  to do the job
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