document.write( "Question 256346: It takes George 1 hour longer to mow the lawn than it takes Henry. Working together, using two mowers, they can mow the lawn in 1 hour and 12 minutes. How long would it take Henry to mow the lawn by himself? \n" ); document.write( "

Algebra.Com's Answer #188599 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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It takes George 1 hour longer to mow the lawn than it takes Henry.
\n" ); document.write( "Working together, using two mowers, they can mow the lawn in 1 hour and 12 minutes.
\n" ); document.write( "How long would it take Henry to mow the lawn by himself?
\n" ); document.write( ":
\n" ); document.write( "Let x = time required by Henry to mow the lawn by himself
\n" ); document.write( "It say,\"George 1 hr longer\", therefore
\n" ); document.write( "(x+1) = time required by George
\n" ); document.write( ":
\n" ); document.write( "Change 1 hr 12 min to 1.2 hrs
\n" ); document.write( ":
\n" ); document.write( "Let completed job = 1
\n" ); document.write( ":
\n" ); document.write( "A shared work equation
\n" ); document.write( " $\"1.2%2Fx\"$ + $\"1.2%2F%28%28x%2B1%29%29\"$ = 1
\n" ); document.write( "Multiply equation by x(x+1), results:
\n" ); document.write( "1.2(x+1) + 1.2x = x(x+1)
\n" ); document.write( ":
\n" ); document.write( "1.2x + 1.2 + 1.2x = x^2 + x
\n" ); document.write( ":
\n" ); document.write( "2.4x + 1.2 = x^2 + x
\n" ); document.write( "Arrange as a quadratic equation
\n" ); document.write( "x^2 + x - 2.4x - 1.2 = 0
\n" ); document.write( ":
\n" ); document.write( "x^2 - 1.4x - 1.2 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-2)(x+.6) = 0
\n" ); document.write( "Positive solution
\n" ); document.write( "x = 2 hrs, Henry by himself\r
\n" ); document.write( "\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution on a calc
\n" ); document.write( " $\"1.2%2F2\"$ + $\"1.2%2F3\"$ =
\n" ); document.write( ".6 + .4 = 1 \n" ); document.write( "

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