SOLUTION: A farmer milking his cows in cows in 2/3 of an hour, and his son can do the job in 1 hour. How long will it take them to milk the cow together? Pleaswe provide a detailed explan

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A farmer milking his cows in cows in 2/3 of an hour, and his son can do the job in 1 hour. How long will it take them to milk the cow together? Pleaswe provide a detailed explan      Log On


   

Question 228210: A farmer milking his cows in cows in 2/3 of an hour, and his son can do the job in 1 hour. How long will it take them to milk the cow together?
Pleaswe provide a detailed explanantion of the steps to be taken in problems like this...
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A farmer milking his cows in cows in 2/3 of an hour, and his son can do the job in 1 hour.
How long will it take them to milk the cow together?
:
Let t = time required when milking together
:
Let the completed job = 1
:
Each will do a fraction of the job, the two fractions add up to 1
t%2F%282%2F3%29 + t%2F1 = 1
Using the rule, "invert the dividing fraction and multiply", we have:
%283t%29%2F2 + t = 1
Multiply equation by 2
3t + 2t = 2
5t = 2
t = 2%2F5 hr working together
:
:
Check solution on calc, using t = .4
.4/(2/3) + .4 = 1