SOLUTION: Paul and Derick complete a certain job if Paul works for 3 days and Derick works for 2 days or if they both work for 2 2/5 days. How long will it take each to do the job alone?

Question 994811: Paul and Derick complete a certain job if Paul works for 3 days and Derick works for 2 days or if they both work for 2 2/5 days. How long will it take each to do the job alone?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Paul and Derick complete a certain job if Paul works for 3 days and Derick works for 2 days or if they both work for 2 2/5 days.
How long will it take each to do the job alone?
:
let p = time required if Paul works alone
let d = time required if Derick works alone
let the completed job = 1
:
Write an equation for each scenario
:
+ = 1
and change 2 days to 2.4 days
+ = 1
:
we can use elimination here, multiply the 1st equation by 8, the 2nd equation by 10.
+ = 8
+ = 10
-----------------------------Subtract the 1st eq from the 2nd and you have
= 2
8 = 2d
d = 4 days for Derick working alone
:
Use the first equation to find p
+ = 1
= 1 -
=
p = 3*2
p = 6 days for Paul alone
:
:
Confirm this in the 2nd equation
+ = 1
.4 + .6 = 1
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