Question 143343

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