SOLUTION: Working together, Jacob and Brandon can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Brandon 9 hours. Find how long it would take Jacob to

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Question 1172307: Working together, Jacob and Brandon can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Brandon 9 hours. Find how long it would take Jacob to do it alone.
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Working together, Jacob and Brandon can pick forty bushels of apples in 4.95 hours.
Had he done it alone it would have taken Brandon 9 hours.
Find how long it would take Jacob to do it alone.
:
let t = time required by Jacob working alone
Let the completed job = 1 (picking 40 bushels)
Each will do a fraction of the job, the two fractions add up to 1
4.95%2Ft + 4.95%2F9 = 1
multiply by 9t, cancel the denominators
4.95(9) + 4.95t = 9t
44.55 + 4.95t = 9t
44.55 = 9t - 4.95t
44.55 = 4.05t
t = 44.55/4.05
t = 11 hrs Jacob working alone
:
:
Check
4.95%2F11 + 4.95%2F9 = 1
.45 + .55 = 1

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Working together, Jacob and Brandon can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Brandon 9 hours. Find how long it would take Jacob to do it alone.
Let time Jacob takes, alone, be J

Then we get: matrix%281%2C3%2C+1%2F4.95%2C+%22=%22%2C+1%2F9+%2B+1%2FJ%29

9J = 4.95J + 9(4.95) ------ Multiplying by LCD, 9J(4.95)

9J - 4.95J = 9(4.95)

4.05J = 9(4.95)

Time Jacob takes alone, to do job, or