SOLUTION: Bill can paint a house in 5 days and Samantha can paint the same house in 7 days. How long will it take them, working together, to paint the house?

Question 517488: Bill can paint a house in 5 days and Samantha can paint the same house in 7 days. How long will it take them, working together, to paint the house?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Bill can paint a house in 5 days and Samantha can paint the same house in 7 days.
How long will it take them, working together, to paint the house?
:
Let t = time required when they work together
Let the completed job = 1
:
A typical shared work equation.
Each will do a fraction of the work, the two fractions must add up to 1
:
+ = 1
multiply by 35 to clear the denominators, results
7t + 5t = 35
12t = 35
t = 35/12
t = 2 ~ 2.9167 days working together,
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