document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #96628 by josmiceli(19441) $\"\"$ $\"About$

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The quantity to find is (1 wall)/(friend's time to finish), which
\n" ); document.write( "is the friend's rate of woking
\n" ); document.write( "But a question has to be answered first.
\n" ); document.write( "How much of the wall did the mason complete in 24 days?
\n" ); document.write( "If he can do a whole wall in 30 days, he did 24/30 of a wall in 24 days.
\n" ); document.write( "So, there is 6/30 of a wall left for his friend to finish, and he did it
\n" ); document.write( "in 5 days. Set up the following ratio:
\n" ); document.write( " $\"%286%2F30%29%2F5+=+1%2Fx\"$
\n" ); document.write( "multiply both sides by $\"5x\"$
\n" ); document.write( " $\"%286%2F30%29x+=+5\"$
\n" ); document.write( "multiply both sides by $\"30\"$
\n" ); document.write( " $\"6x+=+150\"$
\n" ); document.write( " $\"x+=+25\"$
\n" ); document.write( "The friend could do the whole wall alone in 25 days\r
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