SOLUTION: Hello, my name is Jake. I'm in need of a little help on this question: "It takes you 10 hours to paint your garage and it will take your brother 15 hours to paint your garage. How

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Question 894301: Hello, my name is Jake. I'm in need of a little help on this question: "It takes you 10 hours to paint your garage and it will take your brother 15 hours to paint your garage. How long will it take if the two of you work together." If you can tell me how to solve the problem I will greatly appreciate it. Thank you.
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform Rates for doing a job or work.
RT=J for rate, time, job quantity.

Rate for two workers on the same job at the same time is sum of their rates.

RATES GIVEN
YouOrMe,1%2F10
Brother,1%2F15
Rate for YourOrMe_AND_Brother, %281%2F15%2B1%2F10%29

TIME for the two together to do the job, highlight%281%2F%281%2F10%2B1%2F15%29%29.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/10+1/15=1/x
or
x/10+x/15=1
I prefer the first.
3/30 +2/30=1/x
5/30=1/x
1/6=1/x
x=6