document.write( "Question 1039878: Two painters paint a house in 3 days. The first painter can finish the house in 4 days if he works alone. If the second painter works alone how many days will he need to finish the house on his own? \n" ); document.write( "

Algebra.Com's Answer #654625 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Add their rates of working to get their
\n" ); document.write( "rate working together
\n" ); document.write( "1st painter's rate:
\n" ); document.write( "( 1 house painted ) / ( 4 days )
\n" ); document.write( "Let $\"+1%2Ft+\"$ = the 2nd painter's rate of painting
\n" ); document.write( "which is ( 1 house painted ) / ( t days )
\n" ); document.write( "---------------------------------
\n" ); document.write( " $\"+1%2F4+%2B+1%2Ft+=+1%2F3+\"$
\n" ); document.write( "Multiply both sides by $\"+12t+\"$
\n" ); document.write( " $\"+3t+%2B+12+=+4t+\"$
\n" ); document.write( " $\"+t+=+12+\"$
\n" ); document.write( "------------
\n" ); document.write( "The 2nd painter, working alone, finishes the house in 12 days \n" ); document.write( "

\n" );