document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=529388>Question 529388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hiker traveled at an average rate of 2 kilometers per hour (km/h) going up to a lookout and traveled at an average rate of 5 km/h coming back down. If the entire trip (not counting a lunch stop at the lookout) took approximately 2 hours and 15 minutes, what is the total distance the hiker walked? Round your answer to the nearest tenth of a kilometer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349614 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=349614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A hiker traveled at an average rate of 2 kilometers per hour (km/h) going up to a lookout and traveled at an average rate of 5 km/h coming back down.<BR>\n" );
document.write( " If the entire trip (not counting a lunch stop at the lookout) took approximately 2 hours and 15 minutes, what is the total distance the hiker walked?<BR>\n" );
document.write( " Round your answer to the nearest tenth of a kilometer.<BR>\n" );
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document.write( "Let d = the one-way distance<BR>\n" );
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document.write( "Write a time equation, time = dist/speed, change 2 hr 15 min to 2.25 hrs<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F2 ALIGN=MIDDLE  ALT=\"d%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F5 ALIGN=MIDDLE  ALT=\"d%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.25<BR>\n" );
document.write( "multiply by  10 to clear the denominators, results:<BR>\n" );
document.write( "5d + 2d = 10(2.25)<BR>\n" );
document.write( "7d = 22.5<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22.5%2F7 ALIGN=MIDDLE  ALT=\"22.5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 3.214 one way, 2(2.214) = 6.43 ~ 6.4 km, total distance<BR>\n" );
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document.write( "Check solution find the actual times<BR>\n" );
document.write( "3.2/2 = 1.6<BR>\n" );
document.write( "3.2/5 = .64<BR>\n" );
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document.write( "total time: 2.24 ~ 2.25, confirms our solution </SPAN>\n" );
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