document.write( "Question 353200: A car and truck leave an intersection at the same time. The car heads ddue north at 55 mph and the truck heads due west at 50 mph. Find their distance apart at the end of four hours. Assume that both the car and truck maintain their speeds for the entire time. \n" ); document.write( "

Algebra.Com's Answer #252379 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The car and truck each have an equation
\n" ); document.write( "For car:
\n" ); document.write( " $\"d+=+r%2At\"$
\n" ); document.write( " $\"d+=+55%2A4\"$
\n" ); document.write( " $\"d+=+220\"$ mi
\n" ); document.write( "For truck:
\n" ); document.write( " $\"d+=+r%2At\"$
\n" ); document.write( " $\"d+=+50%2A4\"$
\n" ); document.write( " $\"d+=+200\"$ mi
\n" ); document.write( "By the pythagorean theorem:
\n" ); document.write( "distance apart = $\"sqrt%28220%5E2+%2B+200%5E2%29\"$
\n" ); document.write( " $\"sqrt%2848400+%2B+40000%29\"$
\n" ); document.write( " $\"sqrt%2888400%29+=+297.321\"$
\n" ); document.write( "They are 297.321 mi apart after 4 hrs \n" ); document.write( "

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