document.write( "Question 1044282: Together, Fay and Rob can paint a house in 3 days. It will take Rob 3 times as long as it will take Fay to do it alone. How long will take each of them to do it alone? \n" ); document.write( "
Algebra.Com's Answer #659560 by josmiceli(19441)\"\" \"About 
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Fay and Rob's rate working together is:
\n" ); document.write( "[ 1 house painted ] / [ 3 days ] = \"+1%2F3+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "Let \"+t+\" = Fay's time working alone
\n" ); document.write( "Fay's rate working alone is:
\n" ); document.write( "[ 1 house painted ] / [ t days ] = \"+1%2Ft+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "Let \"+3t+\" = Rob's time working alone
\n" ); document.write( "Rob's rate working alone is:
\n" ); document.write( "[ 1 house painted ] / [ 3t days ] = \"+1%2F%283t%29+\"
\n" ); document.write( "------------------------------------
\n" ); document.write( "Add their rates of painting to get their rate working together
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%283t%29+=+1%2F3+\"
\n" ); document.write( "Multiply both sides by \"+3t+\"
\n" ); document.write( "\"+3+%2B+1+=+t+\"
\n" ); document.write( "\"+t+=+4+\" days
\n" ); document.write( "and
\n" ); document.write( "\"+3t+=+12+\" days
\n" ); document.write( "------------------
\n" ); document.write( "Fay can paint 1 house in 4 days
\n" ); document.write( "Rob can paiont 1 house in 12 days
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%283t%29+=+1%2F3+\"
\n" ); document.write( "\"+1%2F4+%2B+1%2F12+=+1%2F3+\"
\n" ); document.write( "\"+3%2F12+%2B+1%2F12+=+4%2F12+\"
\n" ); document.write( "\"+4%2F12+=+4%2F12+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );