document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121717>Question 121717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A boy has planned a three-hour bicycle ride. After biking at a rate of 14 mph for awhile, the bike breaks down and he rides back with his father at a rate of thirty-five mph. How far did the boy ride his bicycle if he returns one hour after he left? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89358 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=89358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A boy has planned a three-hour bicycle ride. After biking at a rate of 14 mph for awhile, the bike breaks down and he rides back with his father at a rate of thirty-five mph. How far did the boy ride his bicycle if he returns one hour after he left?<BR>\n" );
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document.write( "Let d = distance ridden on the bike<BR>\n" );
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document.write( "Write two time equations with the information we have: Time = Distance/speed<BR>\n" );
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document.write( "time on the bike = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F14 ALIGN=MIDDLE  ALT=\"d%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Time in the car = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F35 ALIGN=MIDDLE  ALT=\"d%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" >; (distance on the bike = return distance in the car)<BR>\n" );
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document.write( "Time on bike + time in car = 1 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F14 ALIGN=MIDDLE  ALT=\"d%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F35 ALIGN=MIDDLE  ALT=\"d%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by 14*35 = 490, to get rid of the denominators<BR>\n" );
document.write( "490*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F14 ALIGN=MIDDLE  ALT=\"d%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 490*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F35 ALIGN=MIDDLE  ALT=\"d%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 490(1)<BR>\n" );
document.write( "Cancel the denominators and you have:<BR>\n" );
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document.write( "35d + 14d = 490<BR>\n" );
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document.write( "49d = 490<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=490%2F10 ALIGN=MIDDLE  ALT=\"490%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 10 miles<BR>\n" );
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document.write( "Check solution by finding the total time<BR>\n" );
document.write( "10/14 + 10/35 =<BR>\n" );
document.write( ".714 + .286 = 1 hr, confirms our solution<BR>\n" );
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document.write( "Did this make sense to you? Any questions?<BR>\n" );
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