document.write( "Question 301604: Two cars leave an intersection. One car travels east; the other north. When the car traveling east had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading north. How far had the northbound car traveled?
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Algebra.Com's Answer #216252 by josmiceli(19441) $\"\"$ $\"About$

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The 2 cars and their starting point form a right triangle
\n" ); document.write( "One leg is $\"15\"$ mi
\n" ); document.write( "Call the north leg $\"x\"$
\n" ); document.write( "Then the distance between the cars is $\"5+%2B+x\"$
\n" ); document.write( " $\"x%5E2+%2B+15%5E2+=+%28x%2B5%29%5E2\"$
\n" ); document.write( " $\"x%5E2+%2B+225+=+x%5E2+%2B+10x+%2B+25\"$
\n" ); document.write( " $\"10x+=+225+-+25\"$
\n" ); document.write( " $\"10x+=+200\"$
\n" ); document.write( " $\"x+=+20\"$
\n" ); document.write( "The northbound car had gone 20 mi
\n" ); document.write( "check:
\n" ); document.write( " $\"x%5E2+%2B+15%5E2+=+%28x%2B5%29%5E2\"$
\n" ); document.write( " $\"20%5E2+%2B+15%5E2+=+%2820%2B5%29%5E2\"$
\n" ); document.write( " $\"400+%2B+225+=+625\"$
\n" ); document.write( " $\"625+=+625\"$
\n" ); document.write( "OK \n" ); document.write( "

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