document.write( "Question 1046151: You drive at an average of 30 miles per hour on the way to work, and at an average of 35 miles per hour on the way home. The total driving time is 30 minutes. How far away is work? Round your answer to the nearest hundredth of a mile. \n" ); document.write( "

Algebra.Com's Answer #661649 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "You drive at an average of 30 miles per hour on the way to work, and at an average of 35 miles per hour on the way home.
\n" ); document.write( "The total driving time is 30 minutes. How far away is work? Round your answer to the nearest hundredth of a mile.
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document.write( "Normally you should write the basic equation at once:\r\n" );
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document.write( " +  = 0.5,\r\n" );
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document.write( "where D is an unknown distance in miles, 0.5 is the time of 30 minutes in hours.\r\n" );
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document.write( "By writing this equation, you should understand that  is the time of driving at the speed of 30 mph, \r\n" );
document.write( "while  is the time of driving at the speed of 35 mph.\r\n" );
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document.write( "To solve the equation, multiply both sides by 30*35 to rid off the denominators. You will get\r\n" );
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document.write( "35*D + 30*D = 0.5*30*35,   or\r\n" );
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document.write( "65*D = 0.5*30*35,   or   (canceling the factor 5 in both sides)\r\n" );
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document.write( "13*D = 15*7,  and then\r\n" );
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document.write( "D =  miles =  miles.\r\n" );
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document.write( "Check.   :  = ;\r\n" );
document.write( "         :  = ;\r\n" );
document.write( "        \r\n" );
document.write( "         =  =  =  =  = 0.5.     Correct!\r\n" );
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