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?

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) (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)
:
+ = 1
:
Multiply equation by 6t to get rid of the denominators:
6t* + 6t* = 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:
+ =
+ = 1
RELATED QUESTIONS
Ron can paint a room in 6 hours working alone. If his son, Jason, helps him, the job... (answered by stanbon)

it takes doug 6 days to roof a house. if his son helps him,the job can be done in 4 days. (answered by chitra,Edwin McCravy)

Ryan can paint a room in 8 hours when working alone. If Stephanie helps him, the total... (answered by richwmiller)

ryan can paint a room in 8 hours when working alone. if stephanie helps him, the total... (answered by jim_thompson5910)

It takes Doug 3 days to reroof a house. If Doug's son helps him, the job can be completed (answered by josgarithmetic,greenestamps)

Brett can paint a room in exactly 6 hours. If Dave helps him, they can paint it in... (answered by scott8148,richwmiller)

It takes a man 4 hours to wash and wax the family car. If his teenage son helps him, it... (answered by ewatrrr)

Will can paint six rooms in 12 hours working alone If his friend Matthew helps him... (answered by checkley79)

Will can paint six rooms in 12 hours working alone If his friend Matthew helps him... (answered by stanbon,josmiceli)