SOLUTION: Jun can finish an accounting work in 8 hrs. Leo can finish the same work in 6 hrs. After 2 hours of working together, jun left Leo for lunch and Leo finished the job. How long does

Question 262977: Jun can finish an accounting work in 8 hrs. Leo can finish the same work in 6 hrs. After 2 hours of working together, jun left Leo for lunch and Leo finished the job. How long does it take Leo to finish the job?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount of time needed for Leo to finish the job
Jun works at the rate of 1/8 job per hour
Leo works at the rate of 1/6 job per hour
Together, Jun and Leo work at the rate of 1/8 + 1/6=3/24 + 4/24=7/24 job per hour
In two hours, working together, Jun and Leo complete(7/24)*2=14/24=7/12 of the job leaving 5/12 of the job for Leo to finish. So our equation to solve is:
(1/6)x=5/12 multiply each term by 12
2x=5
x=2.5 hours----------------time needed for Leo to finish
CK
(7/24)*2+(1/6)*2.5=1 (1 job, that is)
7/12+5/12=1
1=1
Hope this helps---ptaylor
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