# math

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if you do a job in 4 hours, and your friend can do the same job but in 6 hours, and if you both work together how long will it take to complete the job?

• math -

friend's rate = job/6

combined rate = job/4 + job/6 = 5job/6

Time = job/rate = job/(5job/12))
= 12/5 hours or 2 hours and 24 minutes.

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