SOLUTION: Mike can paint a room in 14 hours Bob could paint the same room in 10 hours. If they work together how long would it take them to complete job.

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 Question 598786: Mike can paint a room in 14 hours Bob could paint the same room in 10 hours. If they work together how long would it take them to complete job.Answer by nerdybill(6958)   (Show Source): You can put this solution on YOUR website! Mike can paint a room in 14 hours Bob could paint the same room in 10 hours. If they work together how long would it take them to complete job. . Let x = time (hours) it takes for both then x(1/14 + 1/10) = 1 multiplying both sides by 140 (common denominator): x(10 + 14) = 140 x(24) = 140 x = 140/24 x = 5.833 hours or x = 5 hours and 50 minutes