document.write( "Question 886752: 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? \n" ); document.write( "

Algebra.Com's Answer #536120 by JulietG(1812) $\"\"$ $\"About$

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Two people can cut one lawn in 5 hour; on their own, it takes approximately twice that, so 10 hours.
\n" ); document.write( "10 hours + 10 hours = 20 hours
\n" ); document.write( "A + B = 20
\n" ); document.write( "A = B+1
\n" ); document.write( "Substitute the value of A
\n" ); document.write( "(B+1) + B = 20
\n" ); document.write( "2B + 1 = 20
\n" ); document.write( "Subtract
\n" ); document.write( "2B = 19
\n" ); document.write( "B = 9.5
\n" ); document.write( "If B = 9.5 and A is an hour slower, A = 10.5
\n" ); document.write( ".
\n" ); document.write( "The faster person can cut the lawn by himself in $\"highlight_green%289.5hours%29\"$ \n" ); document.write( "

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