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

Question 143343: Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Daniel 9 hours. Find how long it would take Paul to do it alone?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!

Let x=amount of time it would take Paul working alone
Paul works at the rate of 40/x bu per hour
Daniel works at the rate of 40/9 bu per hour
And together they work at the rate of 40/4.95 bu per hour
So our equation to solve is:
40/x+40/9=40/4.95 multiply each term by 44.55x
40(44.55)+40(4.95)x=40(9)x simplify
1782+198x=360x subtract 198x from each side
1782+198x-198x=360x-198x collect like terms
1782=162x divide both sides by 162
x=11 hours--------------amount of time it would take Paul working alone
CK
40/11+40/9=40/4.95
(3.63636----)+(4.44444----)=(8.080808----)
8.080808---=8.080808---
Hope this helps---ptaylor

RELATED QUESTIONS
Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he... (answered by richwmiller)

Working together, paul and daniel can pick forty bushels of apples in 4.95 hrs. Had he... (answered by ewatrrr)

Please help me set up the equation for this word problem so that I can then solve.... (answered by checkley79)

working together,paul and Daniel can pick forty bushels of apples in 4.95 hours.had he... (answered by josgarithmetic)

working together, Pual and Daniel can pick forty bushes of apples in 4.95 hours. Had he... (answered by ikleyn)

I need help on this ASAP. Working together Paul and Dan can pick forty bushels of apples (answered by scott8148)

Working together, Jacob and Brandon can pick forty bushels of apples in 4.95 hours. Had (answered by ankor@dixie-net.com,MathTherapy)

Working together, Ming and Beth can pick forty bushels of apples in 5.48 hours. Had she... (answered by josgarithmetic,MathTherapy)

I'd like someone to show me how to you work out this problem I know the answer I'm just... (answered by Alan3354)