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

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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(12701) (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