SOLUTION: It takes James 2 hours longer to do a certain job than it take Philip. They worked together for 3 hours; then Philip left and James finished the job for 1 hour. How long would it t

Question 819307: It takes James 2 hours longer to do a certain job than it take Philip. They worked together for 3 hours; then Philip left and James finished the job for 1 hour. How long would it take each of them to do the job alone?
Found 2 solutions by ankor@dixie-net.com, richwmiller:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
It takes James 2 hours longer to do a certain job than it take Philip.
They worked together for 3 hours; then Philip left and James finished the job for 1 hour.
How long would it take each of them to do the job alone?
L
Let t = time required by Philip to do the job
then
(t+2) = time required by James
:
Let the completed job = 1
:
IN the shared work equation J works 4 hrs and P works 3 hrs
+ = 1
multiply by t(t+2), cancel the denominators and you have:
4t + 3(t+2) = t(t+2)
4t + 3t + 6 = t^2 + 2t
7t + 6 = t^2 + 2t
Combine to form a quadratic equation the right
0 = t^2 + 2t - 7t - 6
t^2 - 5t - 6 = 0
Factors to
(t-6)(t+1) = 0
The positive solution is all we want here
t = 6 hrs for Philip alone
then, obviously:
6 + 2 = 8 hrs for James alone
:
:
You can check this in the shared work equation
+ = 1

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
It takes James 2 hours longer to do a certain job than it take Philip. They worked together for 3 hours; then Philip left and James finished the job for 1 hour. How long would it take each of them to do the job alone?
j=p+2,
3/j+3/p+1/j=1
4/j+3/p=1
4/(p+2)+3/p=1
j = 8, p = 6
RELATED QUESTIONS
it takes james 2 hours longer to do certain job than it takes Philip. They worked... (answered by josgarithmetic)
It takes Terry 2 hours longer to do a certain job than it takes Tom. They worked... (answered by ankor@dixie-net.com)
It takes Terry 2 hours longer to do a certain job than it takes Tom. They worked together (answered by ankor@dixie-net.com)
It takes Terry 2 hours longer to do a certain job than it takes Tom. They worked... (answered by scott8148)
Philip can dry mop a wet basketball court in 45 mins; while James can do the same job in... (answered by josmiceli)
It takes bill 2 hours longer to do a certain job than it takes cindy. They worked... (answered by richwmiller)
It takes Bill 2hours longer to do a certain job than it takes Cindy . They worked... (answered by josgarithmetic)
I am having difficulty understanding how to set up and solve this word problem. My... (answered by scott8148)
It takes Billy 2 hours to do a certain job than it takes Reena. They worked together for... (answered by lwsshak3)