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 160986: 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?
Thanks for your help!
J 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 that they worked together
then
(t+2) = total time worked by the 2nd person
:
Let the completed job = 1
;
Each will do a fraction of the work which will add up to 1:
:
1st person + 2nd person = completed job + = 1
:
Multiply equation by 24 to get rid of the denominator, rsults:
3t + 2(t+2) = 24
3t + 2t + 4 = 24
3t + 2t = 24 - 4
5t = 20
t =
t = 4 hrs working together
;
:
Check solution:
4/8 + 6/12 = 1
