document.write( "Question 888220: Please help me with my assignment! Thank You very much :)
\n" ); document.write( "Mike and Gerry can finish building a doghouse in 4 hours. It would take mike 6 more hours than Gerry to finish the job alone. How long would it take each boy to finish the job if each works alone? \n" ); document.write( "

Algebra.Com's Answer #537195 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Please help me with my assignment! Thank You very much :)
\n" ); document.write( "Mike and Gerry can finish building a doghouse in 4 hours. It would take mike 6 more hours than Gerry to finish the job alone. How long would it take each boy to finish the job if each works alone?\r
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\n" ); document.write( "\n" ); document.write( "x = time it takes Gerry to do the job alone
\n" ); document.write( "x+6 = time it takes Mike to do the job alone (he takes 6 hrs longer than Gerry)\r
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document.write( "		1/(Gerry's time) + 1/(Mike's time) = 1/(combined time)\r\n" );
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document.write( "		1/x + 1/(x+6) = 1/4\r\n" );
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document.write( "		4x(x+6)[1/x + 1/(x+6)] = 4x(x+6)*1/4    See Note below\r\n" );
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document.write( "		4x(x+6)[1/x] + 4x(x+6)[1/(x+6)] = 4x(x+6)*1/4     \r\n" );
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document.write( "		4(x+6) + 4x = x(x+6)\r\n" );
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document.write( "		4x+24 + 4x = x^2+6x\r\n" );
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document.write( "		24 + 8x = x^2+6x\r\n" );
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document.write( "		0 = x^2+6x-8x-24\r\n" );
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document.write( "		0 = x^2-2x-24\r\n" );
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document.write( "		x^2-2x-24 = 0\r\n" );
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document.write( "		(x-6)(x+4) = 0\r\n" );
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document.write( "		x-6=0 or x+4 = 0\r\n" );
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document.write( "		x=6 or x = -4\r\n" );
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\n" ); document.write( "\n" ); document.write( "Note: Multiply both sides by the LCD 4x(x+6) to clear out the fractions\r
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\n" ); document.write( "\n" ); document.write( "The possible solution of x = -4 makes no sense at all since time values can only be positive or 0.\r
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\n" ); document.write( "\n" ); document.write( "So toss that possible solution.\r
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\n" ); document.write( "\n" ); document.write( "The only solution is x = 6\r
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document.write( "		x = 6\r\n" );
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document.write( "		x+6 = 6+6 = 12\r\n" );
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\n" ); document.write( "\n" ); document.write( "So this means
\n" ); document.write( "it takes Gerry 6 hours to do the job alone
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\n" ); document.write( "it takes Mike 12 hours to do the job alone \n" ); document.write( "

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