SOLUTION: Dave and his son can do a job in 4 1/2 days. After they have worked for 3 days, Dave got sick, and the son finished the task in 6 more days. How many days each is required to do th

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Dave and his son can do a job in 4 1/2 days. After they have worked for 3 days, Dave got sick, and the son finished the task in 6 more days. How many days each is required to do th      Log On


   

Question 329349: Dave and his son can do a job in 4 1/2 days. After they have worked for 3 days, Dave got sick, and the son finished the task in 6 more days. How many days each is required to do the entire task?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
in the 3 days they worked together , they completed 2/3 of the job (3 / 4 1/2)

so the son took 6 days to do 1/3 of the job ___ it would take him 18 days to do the job by himself

in 4 1/2 days , the son does 1/4 of the job (4 1/2 / 18)

so Dave does 3/4 of the job in 4 1/2 days ___ it would take him 6 days to do the job by himself (4 1/2 / 3/4)