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
