document.write( "Question 503194: A motorcycle travelling at 16 mph faster than a car overtakes the car. If the car has been travelling for 5 hours and the motorcycle has been traveling for 3 hours, how far from the starting point are these two vehicles? \n" ); document.write( "

Algebra.Com's Answer #339137 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The problem assumes they started
\n" ); document.write( "from the same point, so their distances
\n" ); document.write( "should be the same when they meet
\n" ); document.write( "Write an equation for each
\n" ); document.write( "For motorcycle:
\n" ); document.write( "(1) $\"+d+=+%28+r+%2B+16+%29%2At%5B1%5D+\"$
\n" ); document.write( "For car:
\n" ); document.write( "(2) $\"+d+=+r%2At%5B2%5D+\"$
\n" ); document.write( " $\"+t%5B1%5D+=+3+\"$
\n" ); document.write( " $\"+t%5B2%5D+=+5+\"$
\n" ); document.write( "-------------
\n" ); document.write( "(1) $\"+d+=+%28+r+%2B+16+%29%2A3+\"$
\n" ); document.write( "(2) $\"+d+=+r%2A5+\"$
\n" ); document.write( " $\"+3r+%2B+48+=+5r+\"$
\n" ); document.write( " $\"+2r+=+48+\"$
\n" ); document.write( " $\"+r+=+24+\"$
\n" ); document.write( "since
\n" ); document.write( "(1) $\"+d+=+%28+r+%2B+16+%29%2A3+\"$
\n" ); document.write( "(1) $\"+d+=+%28+24+%2B+16+%29%2A3+\"$
\n" ); document.write( "(1) $\"+d+=+120+\"$ mi
\n" ); document.write( "They are 120 mi from the starting point \n" ); document.write( "

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