SOLUTION: A mason can build a wall iin 30 days. After working 24 days, he fell ill and his friend had to finish the wall. he worked for 5 days to finish the wall. How long would it take his

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Question 132276: A mason can build a wall iin 30 days. After working 24 days, he fell ill and his friend had to finish the wall. he worked for 5 days to finish the wall. How long would it take his friend to do the wall alone?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The quantity to find is (1 wall)/(friend's time to finish), which
is the friend's rate of woking
But a question has to be answered first.
How much of the wall did the mason complete in 24 days?
If he can do a whole wall in 30 days, he did 24/30 of a wall in 24 days.
So, there is 6/30 of a wall left for his friend to finish, and he did it
in 5 days. Set up the following ratio:
%286%2F30%29%2F5+=+1%2Fx
multiply both sides by 5x
%286%2F30%29x+=+5
multiply both sides by 30
6x+=+150
x+=+25
The friend could do the whole wall alone in 25 days