document.write( "Question 885705: a father and a son working together can finish painting a room in 6 hours. working alone, the father takes 9 hours to do the painting. how many painting hours will it take the son, working alone to finish the painting room? \n" ); document.write( "
Algebra.Com's Answer #535391 by josmiceli(19441)\"\" \"About 
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Add their rates of painting to get their
\n" ); document.write( "rate painting together
\n" ); document.write( "Let \"+t+\" = time in hours for son to paint
\n" ); document.write( "the room working alone
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\n" ); document.write( "( 1 room ) / ( 9 hrs ) + ( 1 room ) / ( t hrs ) = ( 1 room ) / ( 6 hrs )
\n" ); document.write( "\"+1%2F9+%2B+1%2Ft+=+1%2F6+\"
\n" ); document.write( "Multiply both sides by \"+54t+\"
\n" ); document.write( "\"+6t+%2B+54+=+9t+\"
\n" ); document.write( "\"+3t+=+54+\"
\n" ); document.write( "\"+t+=+18+\"
\n" ); document.write( "It takes the son 18 hours working alone to paint the room
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2F9+%2B+1%2Ft+=+1%2F6+\"
\n" ); document.write( "\"+1%2F9+%2B+1%2F18+=+1%2F6+\"
\n" ); document.write( "\"+2%2F18+%2B+1%2F18+=+3%2F18+\"
\n" ); document.write( "\"+3%2F18+=+3%2F18+\"
\n" ); document.write( "OK\r
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