document.write( "Question 423139: Ellen and Kate raced on their bicycles to the library after school. They both left school at 3:00pm and bicycled along the same path. Ellen rode at a speed of 12mph and Kate rode at a speed of 9mph. Ellen got to the library 15mins before Kate. What time did Ellen get to the library? \n" ); document.write( "

Algebra.Com's Answer #295215 by josmiceli(19441) $\"\"$ $\"About$

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Ellen's equation:
\n" ); document.write( " $\"+d+=+12%2At+\"$
\n" ); document.write( "Kate's equation:
\n" ); document.write( " $\"+d+=+9%2A%28t+%2B+.25%29+\"$
\n" ); document.write( "---------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"12t+=+9t+%2B+2.25+\"$
\n" ); document.write( " $\"+3t+=+2.25+\"$
\n" ); document.write( " $\"+t+=+.75+\"$
\n" ); document.write( "Ellen got to the library in .75 hrs or 45 min
\n" ); document.write( "check answer:
\n" ); document.write( " $\"d+=+12%2A.75+\"$
\n" ); document.write( " $\"+d+=+9+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+d+=+9%2A%28.75+%2B+.25%29+\"$
\n" ); document.write( " $\"d+=+9\"$
\n" ); document.write( "OK \n" ); document.write( "

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