Question 262977
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