document.write( "Question 323483: Cyclist A took 2 hours to travel from Town X to Town Y. Cyclist B took 45 minutes less to cover the same distance as he traveled at a speed faster by 3 km/h. Find the distance from Town X to Town Y. \n" ); document.write( "

Algebra.Com's Answer #231489 by josmiceli(19441) $\"\"$ $\"About$

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Write 2 equations, 1 for A and 1 for B
\n" ); document.write( "For A:
\n" ); document.write( " $\"d+=+r%2At\"$
\n" ); document.write( " $\"t+=+2\"$
\n" ); document.write( " $\"d+=+r%2A2\"$
\n" ); document.write( "For B:
\n" ); document.write( " $\"d+=+%28r+%2B+3%29%2A%282+-+3%2F4%29\"$
\n" ); document.write( "Note that you must convert 45 min to 3/4 hr
\n" ); document.write( "

\n" ); document.write( " $\"8r+=+5r+%2B+15\"$
\n" ); document.write( " $\"3r+=+15\"$
\n" ); document.write( " $\"r+=+5\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"d+=+2r\"$
\n" ); document.write( " $\"d+=+10\"$
\n" ); document.write( "The distance between the towns in 10 km
\n" ); document.write( "check answer:
\n" ); document.write( " $\"d+=+%28r+%2B+3%29%2A%282+-+3%2F4%29\"$
\n" ); document.write( " $\"10+=+%285+%2B+3%29%2A%285%2F4%29\"$
\n" ); document.write( " $\"10+=+8%2A%285%2F4%29\"$
\n" ); document.write( " $\"10+=+10\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );