SOLUTION: 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 ho

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
RELATED QUESTIONS
Paul can do a certain job in half the time that Jim requires to do it. Jim orked alone... (answered by josgarithmetic)
peter and paul can do a certain job in 3 hours. on a given day, they worked together for... (answered by ankor@dixie-net.com)
Peter and Paul can do a certain job in 3 hours. On a given day, they worked together for... (answered by stanbon)
Peter and Paul can do a certaion job in 3 hours. On a given day, they worked together for (answered by josmiceli)
Jim and Tom can do a job together in 12 days. After Tom has worked alone for 26 days, Jim (answered by richwmiller)
If Jim and Tom can do a job together in 3.5 hours, and Jim can do the job alone in 4... (answered by ankor@dixie-net.com)
Harold and Jim together can do a job in six days. Harold can do the job working alone in (answered by Maths68)
Paul and Derick complete a certain job if Paul works for 3 days and Derick works for 2... (answered by ankor@dixie-net.com)
this in rational equations in word problems. Jay can clean the house in 6 hours. After (answered by ankor@dixie-net.com)