document.write( "Question 1203928: Two cars leave an intersection at the same time. One is headed south at a constant speed of 40 miles per hour, the other is headed west at a constant speed of 30 miles per hour (see the figure). Express the distance d between the cars as a function of the time t. (Hint: At t = 0 the cars leave the intersection.) \n" ); document.write( "
Algebra.Com's Answer #839847 by ikleyn(52776)\"\" \"About 
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document.write( "At the time t, the southern leg is 40t miles; the western leg is 30t.\r\n" );
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document.write( "The hypotenuse of the right angled triangle, which is the distance between the cars, is, according to Pythagoras\r\n" );
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document.write( "    d = \"sqrt%28%2840t%29%5E2+%2B+%2830t%29%5E2%29\" = \"sqrt%281600t%5E2+%2B+900t%5E2%29\" = \"sqrt%282500t%5E2%29\" = 50t miles.\r\n" );
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document.write( "ANSWER.  The distance between the cars as function of the time is  d = 50t miles.\r\n" );
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