document.write( "Question 1111474: Working​ together, two people can cut a large lawn in 5 hr. One person can do the job alone in 1 hr less than the other. How long would it take the faster person to do the​ job?
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Algebra.Com's Answer #726493 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Rate for 2 people is
\n" ); document.write( "[ 1 lawn ] / [ 5 hrs ]
\n" ); document.write( "Let \"+t+\" = time for slower
\n" ); document.write( "person to mow 1 lawn
\n" ); document.write( "Slower person's rate:
\n" ); document.write( "[ 1 lawn ] / [ t hrs ]
\n" ); document.write( "Faster person's rate:
\n" ); document.write( "[ 1 lawn ] / [ t - 1 hrs ]
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\n" ); document.write( "\"+1%2Ft+%2B+1%2F+%28t-1%29+=+1%2F5+\"
\n" ); document.write( "Multiply both sides by \"+t%2A%28+t-1+%29%2A5+\"
\n" ); document.write( "\"+5%2A%28+t-1+%29+%2B+5t+=+t%2A%28+t-1+%29+\"
\n" ); document.write( "\"+5t+-+5+%2B+5t+=+t%5E2+-+t+\"
\n" ); document.write( "\"+t%5E2+-11t+=+-5+\"
\n" ); document.write( "Complete the square
\n" ); document.write( "\"+t%5E2+-+11t+%2B+%2811%2F2%29%5E2+=+-5+%2B+%2811%2F2%29%5E2+\"
\n" ); document.write( "\"+t%5E2+-+11t+%2B+121%2F4+=+-20%2F4+%2B+121%2F4+\"
\n" ); document.write( "\"+%28+t+-+11%2F2+%29%5E2+=+101%2F4+\"
\n" ); document.write( "\"+t+-+5.5+=+sqrt%28+25.25+%29+\"
\n" ); document.write( "\"+t+=+5.5+%2B+5.025+\"
\n" ); document.write( "\"+t+=+10.525%0D%0Aand%0D%0A%7B%7B%7B+t+-+1+=+9.525+\"
\n" ); document.write( "Faster one takes 9.525 hrs working alone
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\n" ); document.write( "check:
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%28t-1%29+=+1%2F5+\"
\n" ); document.write( "\"+1%2F10.525+%2B+1%2F9.525+=+1%2F5+\"
\n" ); document.write( "\"+.095+%2B+.105+=+.2+\"
\n" ); document.write( "\"+.2+=+.2+\"
\n" ); document.write( "OK
\n" ); document.write( "Get a 2nd opinion if you need it\r
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