6 hours
It will take you 10 hrs to paint the garage and it will take your brother 15 hours to paint the garage.
You can paint 1/10 G/H, Bro can do 1/15 G/H.
Total G/H = 1/10 + 1/15 = (3 + 2)/30 = 1/6 G/H.
So after 6 hours,
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