SOLUTION: Together, Fay and Rob can paint a house in 3 days. It will take Rob 3 times as long as it will take Fay to do it alone. How long will take each of them to do it alone?

Question 1044282: Together, Fay and Rob can paint a house in 3 days. It will take Rob 3 times as long as it will take Fay to do it alone. How long will take each of them to do it alone?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Fay and Rob's rate working together is:
[ 1 house painted ] / [ 3 days ] =
-----------------------------------
Let = Fay's time working alone
Fay's rate working alone is:
[ 1 house painted ] / [ t days ] =
-----------------------------------
Let = Rob's time working alone
Rob's rate working alone is:
[ 1 house painted ] / [ 3t days ] =
------------------------------------
Add their rates of painting to get their rate working together

Multiply both sides by

days
and
days
------------------
Fay can paint 1 house in 4 days
Rob can paiont 1 house in 12 days
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check:

OK
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