document.write( "Question 919252: Hi, I need help on my word problem homework. Would someone kindly help me please.Please show me the steps on how to solve the problem as well. Thank you.\r
\n" ); document.write( "\n" ); document.write( "Working together, two people can cut a lawn in 4 hours. One person can do the job alone in 1 hour less than the other. How long would it take the faster person to do the job?
\n" ); document.write( "MY TEACHER SAID THE ANSWER IS 7.5 HOURS.\r
\n" ); document.write( "\n" ); document.write( "Would you please show me how he got the answer. Than you.
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Algebra.Com's Answer #557599 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Uniform Rates for Job or Task,
\n" ); document.write( "RT=J, rate time job.\r
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\n" ); document.write( "\n" ); document.write( "RATES:
\n" ); document.write( "Let x be the time for the slower person alone to do 1 job.
\n" ); document.write( "Fast Person, \"1%2F%28x-1%29\"
\n" ); document.write( "Slow Person, \"1%2Fx\"
\n" ); document.write( "Combined Fast and Slow Persons, \"1%2F%28x-1%29%2B1%2Fx=1%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "When you reach that far, you just need to solve for x, because you have the combined rate equation; the combined rate value is given in the problem description, so the sum of the rates of the two people are their combined rate working together.\r
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\n" ); document.write( "\n" ); document.write( "Note, the question essentially asks for x-1; which you find after first solving for x.
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