document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181466>Question 181466</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395585309/algebrahomeworkh>algebra structure & method book1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Gene spent 10 minutes riding his bicycle to a friends house. He left his bike there and with a friend, walked 15 minutes to the gm.  Gene rides his bicycle 10 km/hr faster than he walks.  If the entire trip covered 2.75 km. how far is it from his friends house to the gym? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136080 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=136080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Gene spent 10 minutes riding his bicycle to a friends house. He left his bike there and with a friend, walked 15 minutes to the gm. Gene rides his bicycle 10 km/hr faster than he walks. If the entire trip covered 2.75 km. how far is it from his friends house to the gym?<BR>\n" );
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document.write( "Bike DATA:<BR>\n" );
document.write( "time = (1/6)hr ; rate = x+10 km/h ; distance = rt=(1/6)(x+10) km<BR>\n" );
document.write( "---------------------------------------------------------------------<BR>\n" );
document.write( "Walk DATA:<BR>\n" );
document.write( "time = (1/4)hr ; rate = x km/h ; distance = rt = (1/4)x km<BR>\n" );
document.write( "--------------------------------------------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "distance + distance = 2.75 km<BR>\n" );
document.write( "(1/6)(x+10) + (1/4)x = 2.75\r<BR>\n" );
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document.write( "(1/6 + 1/4)x + (5/3) = 11/4\r<BR>\n" );
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document.write( "(5/12)x + (5/2) = 11/4\r<BR>\n" );
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document.write( "Multiply thru by 12 to get:\r<BR>\n" );
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document.write( "5x + 30 = 33<BR>\n" );
document.write( "5x = 3\r<BR>\n" );
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document.write( "x = 3/5 km/h<BR>\n" );
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document.write( "Distance from friend's house to the gym?<BR>\n" );
document.write( "That is the walking distance = (1/4)x<BR>\n" );
document.write( "= (1/4)(3/5) = (3/20) km<BR>\n" );
document.write( "==============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );