document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=398210>Question 398210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am being confused with the formula for figuring out the distance and time in this problem. Please help me with this.\r<BR>\n" );
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document.write( "Aya rode her bicycle from her house to a friend's house, averaging 16 kilometers per hour. It turned dark before she was ready to return home, so her friend drove her home at a rate of 80 kilometers per hour. If Aya's total traveling time was three hours, how far away did her friend live?\r<BR>\n" );
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document.write( "Thank you for your time.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #282161 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=282161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Aya rode her bicycle from her house to a friend's house, averaging 16 kilometers per hour. It turned dark before she was ready to return home, so her friend drove her home at a rate of 80 kilometers per hour. If Aya's total traveling time was three hours, how far away did her friend live? <BR>\n" );
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document.write( "To DATA:<BR>\n" );
document.write( "rate = 16 km/hr ; distance = x km ; time = d/r = x/16 hrs<BR>\n" );
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document.write( "From DATA:<BR>\n" );
document.write( "rate = 80 km/hr ; distance = x km ; time = d/r = x/80 hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time + time = 3 hrs<BR>\n" );
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document.write( "x/16 + x/80 = 3<BR>\n" );
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document.write( "Multiply thru by 80 to get:<BR>\n" );
document.write( "5x + x = 240<BR>\n" );
document.write( "6x = 240<BR>\n" );
document.write( "x = 40 km (distance to her friend's house).<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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