SOLUTION: Janet can do a job in 3 hours while Garry can do the same job in 2 hours. If Janet works for an hour before Garry helps her, how long will it take them to finish the job together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Janet can do a job in 3 hours while Garry can do the same job in 2 hours. If Janet works for an hour before Garry helps her, how long will it take them to finish the job together?       Log On


   

Question 915911: Janet can do a job in 3 hours while Garry can do the same job in 2 hours. If Janet works for an hour before Garry helps her, how long will it take them to finish the job together?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Person___________rate__________time__________job
Gary_____________1/2____________2_____________1
Janet____________1/3____________3_____________1
BOTH___________1/2+1/3_________________________

Rate of BOTH together is 5%2F6 jobs per hour.

Let t be the time during which they both work together (to finish the job).

Person_________rate_______time________job
Janet__________1/2_________1__________(1/2)*1
Gary&Janet_____5/6_________t__________(5/6)t
TOTAL__________________________________1

Solve for t in the equation highlight%281%2F2%2B%285%2F6%29t=1%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Janet can do a job in 3 hours while Garry can do the same job in 2 hours. If Janet works for an hour before Garry helps her, how long will it take them to finish the job together?


Time both take to complete job: highlight_green%284%2F5%29 hr, or 48 minutes

You can do the check!! 

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