SOLUTION: One person can do a job in 8 hours. A second person can do it in 12 hours. If the first person works 2 hours less than the second, how many hours will it take them working together
Algebra ->
Rational-functions
-> SOLUTION: One person can do a job in 8 hours. A second person can do it in 12 hours. If the first person works 2 hours less than the second, how many hours will it take them working together
Log On
Question 185463: One person can do a job in 8 hours. A second person can do it in 12 hours. If the first person works 2 hours less than the second, how many hours will it take them working together? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! One person can do a job in 8 hours. A second person can do it in 12 hours.
If the first person works 2 hours less than the second, how many hours will
it take them working together?
:
Let t = time required working together
:
A typical "shared work equation" (let the completed job = 1) + = 1
mult equation by 24 to get rid of the denominators, results
3(t-2) + 2t = 24
3t - 6 + 2t = 24
5t = 24 + 6
t =
t = 6 hrs working together
;
;
check solution + =
.5 + .5 = 1