document.write( "Question 78502: It takes me 3 hours to prepare a special dinner in class, when it only took my husband 2 hours. How long will it take for them both to finish the cooking class? Answer should be rounded to the one decimal. Must be shown in a rational equation \n" ); document.write( "

Algebra.Com's Answer #56294 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "It takes me 3 hours to prepare a special dinner in class,\r\n" );
document.write( "when it only took my husband 2 hours. How long will it \r\n" );
document.write( "take for them both to finish the cooking class? Answer \r\n" );
document.write( "should be rounded to the one decimal. Must be shown in a \r\n" );
document.write( "rational equation.\r\n" );
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document.write( "Let the answer be x hours.\r\n" );
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document.write( "The secret in doing this kind of problem is\r\n" );
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document.write( "1. Take everything down to 1 hour, \r\n" );
document.write( "2. Then take everything up to x hours.\r\n" );
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document.write( ">>...It takes me 3 hours to prepare a special dinner...<<\r\n" );
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document.write( "1. So therefore in 1 hour I can prepare 1/3 of a special dinner.\r\n" );
document.write( "2. So therefore in x hours I can prepare x/3 of a special dinner.\r\n" );
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document.write( ">>...it...took my husband 2 hours...<<\r\n" );
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document.write( "1. So therefore in 1 hour my husband can prepare 1/2 of a special dinner.\r\n" );
document.write( "2. So therefore in x hours my husband can prepare x/2 of a special dinner.\r\n" );
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document.write( "So therefore the equation comes from:\r\n" );
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document.write( "   The part of a dinner I can do in x hours +\r\n" );
document.write( "         The part of a dinner my husband can do in x hours =\r\n" );
document.write( "                1 dinner.\r\n" );
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document.write( "So the equation is\r\n" );
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document.write( "Multiply through by LCD = 6\r\n" );
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document.write( "Divide both sides by 5\r\n" );
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document.write( "Answer: 1.2 hours (or 1 hour and 12 minutes.)\r\n" );
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document.write( "Edwin

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