document.write( "Question 833242: tom and huck start a business painting fences. They paint Aunt polly's fence and find that they can paint a 200-ft(2) square .fence in 40min if they work together .If huch works four times faster than tom, how long would it take each of them to paint a 500-ft(2) square fence working alone? \n" ); document.write( "
Algebra.Com's Answer #502425 by josmiceli(19441)\"\" \"About 
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Call painting the 200 ft2 fence 1 job
\n" ); document.write( "\"+1%2F40+\" = 1 job/40 min
\n" ); document.write( "Then a 500 ft2 fence would be 2.5 jobs
\n" ); document.write( "Let \"+R+\" = Tom's rate of painting
\n" ); document.write( "\"+4R+\" = Huck's rate of painting
\n" ); document.write( "-------------------------------
\n" ); document.write( "\"+R+%2B+4R+=+1%2F40+\"
\n" ); document.write( "\"+5R+=+1%2F40+\"
\n" ); document.write( "\"+R+=+1%2F200+\"
\n" ); document.write( "\"+4R+=+1%2F50+\"
\n" ); document.write( "---------------
\n" ); document.write( "For Tom:
\n" ); document.write( "\"+R+=+2.5%2Ft+\"
\n" ); document.write( "\"+1%2F200+=+2.5%2Ft+\"
\n" ); document.write( "\"+t+=+2.5%2A200+\"
\n" ); document.write( "\"+t+=+500+\"
\n" ); document.write( "For Huck:
\n" ); document.write( "\"+4R+=+2.5%2Ft+\"
\n" ); document.write( "\"+1%2F50+=+2.5%2Ft+\"
\n" ); document.write( "\"+t+=+2.5%2A50+\"
\n" ); document.write( "\"+t+=+125+\"
\n" ); document.write( "--------------
\n" ); document.write( "\"+500%2F60+=+8+%2B+20%2F60+\"
\n" ); document.write( "Tom takes 8 hrs and 20 min to paint the 500 ft2 fence alone
\n" ); document.write( "\"+125%2F60+=+2+%2B+5%2F60+\"
\n" ); document.write( "Huck takes 2 hrs and 5 min to paint the 500 ft2 fence alone
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "\"+R+%2B+4R+=+1%2F40+\"
\n" ); document.write( "\"+1%2F200+%2B+1%2F50+=+1%2F40+\"
\n" ); document.write( "\"+1%2F200+%2B+4%2F200+=+1%2F40+\"
\n" ); document.write( "\"+5%2F200++=+1%2F40+\"
\n" ); document.write( "\"+1%2F40+=+1%2F40+\"
\n" ); document.write( "OK\r
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