SOLUTION: When he works alone, it takes a man 6 hours to hang wallpaper in his dining room. After working alone for three hours, the man's son returns from school to help his father finish

Algebra ->  Rate-of-work-word-problems -> SOLUTION: When he works alone, it takes a man 6 hours to hang wallpaper in his dining room. After working alone for three hours, the man's son returns from school to help his father finish       Log On


   

Question 137216: When he works alone, it takes a man 6 hours to hang wallpaper in his dining room. After working alone for three hours, the man's son returns from school to help his father finish hanging the wallpaper. If the two working together take an additional 2 hours to complete the job, determine how long it would take the son working alone to hang the paper in the entire room
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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When he works alone, it takes a man 6 hours to hang wallpaper in his dining room. After working alone for three hours, the man's son returns from school to help his father finish hanging the wallpaper. If the two working together take an additional 2 hours to complete the job, determine how long it would take the son working alone to hang the paper in the entire room
:
Let the completed job = 1
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Let the sons time working alone = x
:
The man works a total of 5 hrs, therefore he will do 5/6 of the job:
5%2F6 + 2%2Fx = 1
Multiply equation by 6x to get rid of the denominators, you then have:
5x + 6(2) = 6x
:
12 = 6x - 5x
:
x = 12 hrs required if the son works alone
:
:
Check solution
5%2F6 + 2%2F12 = 1