document.write( "Question 1094619: Ellen and Kate leave school at 3:00 p.m. They race to the library on their bikes. Kate is going 9 mph and Ellen is going 12 mph. Ellen got to the library 15 minutes before Kate. What time did Kate get to the library? \n" ); document.write( "
Algebra.Com's Answer #709188 by josmiceli(19441)\"\" \"About 
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Let \"+d+\" = distance in miles from
\n" ); document.write( "school to library
\n" ); document.write( "Let \"+t+\" = time in hrs that Kate took
\n" ); document.write( "to get top the library
\n" ); document.write( "-----------------------------------
\n" ); document.write( "Kate's equation:
\n" ); document.write( "(1) \"+d+=+9t+\"
\n" ); document.write( "Ellen's equation:
\n" ); document.write( "(2) \"+d+=+12%2A%28+t+-+.25+%29+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Set (1) = (2)
\n" ); document.write( "\"+9t+=+12%2A%28+t+-+.25+%29+\"
\n" ); document.write( "\"+9t+=+12t+-+3+\"
\n" ); document.write( "\"+3t+=+3+\"
\n" ); document.write( "\"+t+=+1+\"
\n" ); document.write( "and
\n" ); document.write( "\"+t+-+.25+=+.75+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "Kate got to the library at 3 PM plus 1 hr = 4 PM
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+9t+\"
\n" ); document.write( "(1) \"+d+=+9+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+12%2A%28+t+-+.25+%29+\"
\n" ); document.write( "(2) \"+d+=+12%2A.75+\"
\n" ); document.write( "(2) \"+d+=+9+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );