SOLUTION: Joe can do a job in 6 hours and charlie can do the same job in 5 hours. What part of the job can they finish by working together for 2 hours? Please explain fully

Question 999779: Joe can do a job in 6 hours and charlie can do the same job in 5 hours. What part of the job can they finish by working together for 2 hours? Please explain fully

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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Joe: 1 job / 6 hours = 1/6 job per hour
(1/6 job per hour) x 2 hours = 2/6 job = 1/3 job
Joe can do 1/3 of the job in 2 hours.
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Charlie: 1 job / 5 hours = 1/5 job per hour
(1/5 job per hour) x 2 hours = 2/5 job
Charlie can do 2/5 of the job in 2 hours.
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For two hours with both working:
Joe + Charlie = 1/3 job + 2/5 job = 5/15 job + 6/15 job = 11/15 job
ANSWER: The two together will complete 11/15 of the job in two hours.
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