document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1144190>Question 1144190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alex's bike ride to work usually takes 22 minutes at 9 kph. One morning he found a new bike route that was 5 minutes faster. If he decides to use this new route again and wants to reach home by an additional 2 minutes earlier, how fast should he cycle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #765212 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=765212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate * time = distance.\r<BR>\n" );
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document.write( "rate is in kilometers per hour.<BR>\n" );
document.write( "time needs to be in hours.<BR>\n" );
document.write( "distance is in kilometers.\r<BR>\n" );
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document.write( "22 minutes = 22/60 hours.<BR>\n" );
document.write( "22 - 5 = 17 minutes = 17/60 hours.<BR>\n" );
document.write( "17 - 2 = 15 minutes = 15/60 hours.\r<BR>\n" );
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document.write( "on his original route, he is traveling at 9 kilometers per hour for 22/60 hours.<BR>\n" );
document.write( "the distance traveled is 22/60 * 9 = 198/60 kilometers.\r<BR>\n" );
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document.write( "on his new route, he is traveling at 9 kilometers per hour for 17/60 hours.<BR>\n" );
document.write( "the distance he has traveled is 17/60 * 9 = 153/60 kilometers.\r<BR>\n" );
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document.write( "he wants to travel this new route 2 minutes faster.<BR>\n" );
document.write( "he needs to know how much faster he has to cycle.<BR>\n" );
document.write( "the formula is still rate * time = distance.<BR>\n" );
document.write( "the rate is what he wants to find.<BR>\n" );
document.write( "the time is 15/60 hours.<BR>\n" );
document.write( "the distance is 153/60 kilometers.<BR>\n" );
document.write( "the formula becomes rate * 15/60 = 153/60<BR>\n" );
document.write( "solve for rate to get rate = 153/60 * 60/15 = 153/15 kilometers per hour.<BR>\n" );
document.write( "153/15 = 10.2 kilometers per hour.\r<BR>\n" );
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document.write( "that should be your solution.<BR>\n" );
document.write( "he is traveling at 10.2 kilometers per hour for 15/60 hours for the new route distance of 15/60 * 10.2 = 153/60 kilometers. </SPAN>\n" );
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