# Algebra II

posted by Lucy

Thomas can do a job in 4 hours. Julia can do the same job in 6 hours. How many hours will it take the two of them to do the job it they work together?

1. Ms. Sue

With two of them working together, then their times will be cut in half. Thomas can do it in 2 hours, while Julia does it in 3 hours.

(2 + 3)/ 2 = 2 1/2 hours

2. drwls

Not quite.

Their combined rate of doing the rob is
1/4 job/h + 1/6 job/h = 5/12 job/h

5/12 job/h * T (hr) = 1 job
T = 12/5 = 2 2/5 hours

3. Ms. Sue

Thanks, again -- DrWLS. You're absolutely right -- and I was wrong.

4. Ms. Sue

Maybe they stood around chatting for the additional 6 minutes? <G>

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