document.write( "Question 628119: Two houses painters can paint 3 houses in 40 hours. How long would it take 5 house painters to paint 2 houses if they work at the same rate as the 2 house painters? \n" ); document.write( "

Algebra.Com's Answer #395399 by josmiceli(19441) $\"\"$ $\"About$

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The rate of painting for 2 painters is
\n" ); document.write( "( 3 houses ) / ( 40 hrs )
\n" ); document.write( "-------------------
\n" ); document.write( "Half the number of painters will take
\n" ); document.write( "twice as long to paint 3 houses, so
\n" ); document.write( "The rate of painting for 1 painter is
\n" ); document.write( "( 3 houses ) / ( 80 hrs )
\n" ); document.write( "-------------------
\n" ); document.write( "5 painters can paint the same number
\n" ); document.write( "of houses in 1/5 the time, so
\n" ); document.write( "The rate of painting for 5 painters is
\n" ); document.write( "( 3 houses ) / ( 16 hrs )
\n" ); document.write( "-------------------
\n" ); document.write( "It will take the 5 painters twice as long
\n" ); document.write( "to paint twice as many houses, or
\n" ); document.write( "( 6 houses ) / ( 32 hrs )
\n" ); document.write( "-------------------
\n" ); document.write( "It will take the 5 painters 1/3 as long
\n" ); document.write( "to paint 1/3 as many houses, so
\n" ); document.write( "The rate of painting for 5 painters is
\n" ); document.write( "( 2 houses ) / ( 10 and 2/3 hrs )
\n" ); document.write( "--------------------------
\n" ); document.write( "Final answer:
\n" ); document.write( "I takes 5 painters 10 hours and 40 minutes to paint 2 houses \n" ); document.write( "

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