document.write( "Question 384139: Ron can mow the lawn in two hours more time than Paul. Working together they can mow the lawn in 3 hours. How long does it take each of them working alone? Round your answers to the nearest tenth of an hour, if necessary.
\n" ); document.write( "A)Paul: 4 hours, Ron: 8 hours
\n" ); document.write( "B)Paul: 5.2 hours, Ron: 7.2 hours
\n" ); document.write( "C)Paul: 7.2 hours, Ron: 5.2 hours
\n" ); document.write( "D)Paul: 8 hours, Ron: 4 hours
\n" ); document.write( "

Algebra.Com's Answer #271936 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,
\n" ); document.write( " Ron can mow the lawn in two hours more time than Paul
\n" ); document.write( "Let x and (x+2) represent Paul and Ron's times solo respectively
\n" ); document.write( " Question states, per hour being the Equalizer
\n" ); document.write( " 1/x + 1/(x+2) = 1/3hr Multiplying each term by 3x(x+2) so as all denominators = 1
\n" ); document.write( " 3(x+2) + 3x = x(x+2)
\n" ); document.write( " 3x+ 6 + 3x = x^2 +2x
\n" ); document.write( " x^2 - 4x - 6 = 0
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+40+%29%29%2F%282%29+\"
\n" ); document.write( " \"x+=+%284+%2B-+2%2Asqrt%28+10+%29%29%2F%282%29+\"
\n" ); document.write( "x = -1.2 Or x = 5.2 (rounded to the nearest tenth)
\n" ); document.write( "tossing out negative solution
\n" ); document.write( " x = 5.2hr, Pauls Time, Ron's 7.2hr \n" ); document.write( "
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