SOLUTION: Ron Wood can paint a room in 6 hr working alone. If his son, Jason, helps him, the job takes 4 hr. How long would it take Jason to do the job if he worked alone?

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Question 126412This question is from textbook
: Ron Wood can paint a room in 6 hr working alone. If his son, Jason, helps him, the job takes 4 hr. How long would it take Jason to do the job if he worked alone? This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Ron Wood can paint a room in 6 hr working alone. If his son, Jason, helps him, the job takes 4 hr. How long would it take Jason to do the job if he worked alone?
:
A typical shared work equation:
:
Let t = time required if J works alone
:
Let the completed job = 1; (each will do a fraction of the job)
:
4%2F6 + 4%2Ft = 1
:
Multiply equation by 6t to get rid of the denominators:
6t*4%2F6 + 6t*4%2Ft = 6t(1)
Cancel out the denominators, resulting in
:
4t + 6(4) = 6t
:
4t + 24 = 6t
:
24 = 6t - 4t
:
24 = 2t
:
t = 12 hrs, J working alone
:
Check solution:
4%2F6 + 4%2F12 =
2%2F3 + 1%2F3 = 1