SOLUTION: One person can do a job in 8 hours. a second person can do it in 12 hours. if the first person works 2 hours less than the second, how many hours will it take them working together

Question 137449: One person can do a job in 8 hours. a second person can do it in 12 hours. if the first person works 2 hours less than the second, how many hours will it take them working together?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
in the 2 hours working alone, the 2nd person completes 1/6 (2/12) of the job __ this means that 5/6 remains

let x="time together" __ (x/8)+(x/12)=5/6 __ multiplying by 24 __ 3x+2x=20 __ 5x=20 __ x=4

in the 6 hours the 2nd person works, they complete 1/2 (6/12) of the job

in the 4 hours the 1st person works, they complete the other half (4/8)
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