SOLUTION: I man can paint a house in 6 days and his son in 12 days. How many days will it take them if they painted it together?

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Question 306566: I man can paint a house in 6 days and his son in 12 days. How many days will it take them if they painted it together?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I man can paint a house in 6 days and his son in 12 days.
How many days will it take them if they painted it together?
:
Let t = time required when doing the job together
:
Let the completed job = 1
:
Each will do a fraction of the job, the two fractions add up to 1
:
t%2F6 + t%2F12 = 1
multiply by 12 to clear the denominators, results:
2t + t = 12
3t = 12
t = 12%2F3
t = 4 days together
;
:
Check it
4/6 + 4/12 = 1