document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75172>Question 75172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A child can get to school in 15 minutes if she rides her bike. It takes her 45 minutes if she walks. Her speed when walking is 10 km./hr. slower than her speed when riding. How far does she travel to school? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54009 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=her speed (rate) riding<BR>\n" );
document.write( "Then x-10=her speed (rate) walking\r<BR>\n" );
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document.write( "distance(d)=rate(r) times time(t)or d=rt; r=d/t; t=d/r\r<BR>\n" );
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document.write( "We are told that time required to bike to school=15 min or 0.25 hr<BR>\n" );
document.write( "We are also told that time required to walk to school =45 min or 0.75 hr\r<BR>\n" );
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document.write( "distance walking = distance riding\r<BR>\n" );
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document.write( "distance walking=rate walking times time walking\r<BR>\n" );
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document.write( "distance walking=(x-10)*0.75<BR>\n" );
document.write( "distance riding = rate riding times time riding<BR>\n" );
document.write( "distance riding =x*0.25\r<BR>\n" );
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document.write( "So our equation to solve is:\r<BR>\n" );
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document.write( "0.75(x-10)=0.25x  get rid of parens<BR>\n" );
document.write( "0.75x-7.5=0.25x  subtract 0.25x and add 7.5 to both sides<BR>\n" );
document.write( "0.75x-0.25x-7.7+7.5=0.25x-0.25x+7.5  collect like terms<BR>\n" );
document.write( "0.50x=7.5  divide both sides by 0.50<BR>\n" );
document.write( "x=15mph-speed (rate) riding\r<BR>\n" );
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document.write( "Now we have the rate and the time, so it's easy to get the distance\r<BR>\n" );
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document.write( "distance riding = rate times time (riding)<BR>\n" );
document.write( "distance riding = 15*0.25=3.75 mi-------------------------------------ans \r<BR>\n" );
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document.write( "x-10=15-10=5mph-speed (rate) walking<BR>\n" );
document.write( "distance walking = rate times time (walking)<BR>\n" );
document.write( "distance walking = 5*0.75=3.75 mi-------------------------also the ans\r<BR>\n" );
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document.write( "hope this helps---------------ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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