SOLUTION: John can complete a job alone in 2 hours, and it takes Tim 3 hours to do the same job alone, how long would it take them if they work together?

Question 662477: John can complete a job alone in 2 hours, and it takes Tim 3 hours to do the same job alone, how long would it take them if they work together?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of working
( 1 job done ) / ( John's time to do it ) + ( 1 job done ) / ( Tim's time to do it )
= ( i job done ) / ( time with both working )
Let = time to do job with both working

Multiply both sides by

It will take them 1 + 1/5 hours, or
= 1 hour and 12 minutes working together

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