document.write( "Question 779948: If one painter can paint a house in 4 hours and another painter can paint a house in 3 hours. If they painted together, how long will it take for them to paint 2 houses? \n" ); document.write( "

Algebra.Com's Answer #475434 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of painting
\n" ); document.write( "1st painter's rate:
\n" ); document.write( "( 1 house painted ) / ( 4 hrs )
\n" ); document.write( "2nd painter's rate:
\n" ); document.write( "( 1 house painted ) / ( 3 hrs )
\n" ); document.write( "-------------------------
\n" ); document.write( "Let $\"+t++\"$ = time in hours for them
\n" ); document.write( "to paint 2 houses working together
\n" ); document.write( "------------------------------
\n" ); document.write( " $\"+1%2F4+%2B+1%2F3+=+2%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+12t+\"$
\n" ); document.write( " $\"+3t+%2B+4t+=+24+\"$
\n" ); document.write( " $\"+7t+=+24+\"$
\n" ); document.write( " $\"+t+=+3.429+\"$
\n" ); document.write( " $\"+.429%2A60+=+26+\"$
\n" ); document.write( "----------------
\n" ); document.write( "It will take them 3 hrs and 26 min to
\n" ); document.write( "paint 2 houses
\n" ); document.write( " \n" ); document.write( "

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