document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=98643>Question 98643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have no idea how to go about this problem, could you please help me with the set up and finding the answer?\r<BR>\n" );
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document.write( "The word problem is, Tom leaves Eddie's house to go home for dinner. He pedals his bike at a speed of 10 mph. Eddie notices that Tom left his wallet behind and gets on his bike to return the wallet. Eddie leaves his house 5 minutes after Tom left, but pedaled fast enough to reach Tom's house at exactly the same time that Tom does. Assuming that Tom's house is 4 miles away from Eddie's house, how fast did Eddie pedal his bike?  \r<BR>\n" );
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document.write( "thank you for the help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71852 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=71852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Tom leaves Eddie's house to go home for dinner. He pedals his bike at a speed of 10 mph. Eddie notices that Tom left his wallet behind and gets on his bike to return the wallet. Eddie leaves his house 5 minutes after Tom left, but pedaled fast enough to reach Tom's house at exactly the same time that Tom does. Assuming that Tom's house is 4 miles away from Eddie's house, how fast did Eddie pedal his bike?<BR>\n" );
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document.write( "Let s = Eddie's speed on the bike<BR>\n" );
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document.write( "We know they both pedaled the same distance, but Eddie's trip took 5 min less.<BR>\n" );
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document.write( "Write a time equation: Time = Dist/speed<BR>\n" );
document.write( "Since the speed is in mph, change 5 min to hrs: 5 min = 5/60 = 1/12 hr<BR>\n" );
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document.write( "Tom's time = Eddie's time + (1/12)hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F10 ALIGN=MIDDLE  ALT=\"4%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fs ALIGN=MIDDLE  ALT=\"4%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by 60s to get rid of the denominators<BR>\n" );
document.write( "60s*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F10 ALIGN=MIDDLE  ALT=\"4%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 60s*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fs ALIGN=MIDDLE  ALT=\"4%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 60s*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cancel out the denominators, and you have simple equation:<BR>\n" );
document.write( "6s(4) = 60(4) + 5s<BR>\n" );
document.write( "24s = 240 + 5s<BR>\n" );
document.write( "24s - 5s = 240<BR>\n" );
document.write( "19s = 240<BR>\n" );
document.write( "s = 240/19<BR>\n" );
document.write( "s = 12.63 mph is Eddie's speed<BR>\n" );
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document.write( "Check solution by finding the time in minutes for each:<BR>\n" );
document.write( "4/10 = .4 * 60 = 24 min<BR>\n" );
document.write( "4/12.6 = .3174 * 60 = 19.0 min (five minutes less) <BR>\n" );
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document.write( "Did this make sense to you? Any questions?\r<BR>\n" );
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