document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201017>Question 1201017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a hiking club made a trip of 380 km to a base camp in 7h. they traveled 4h on a paved highway and the remainder of the time on a wilderness trail. if the average velocity on the trail was 25km/h less than that on the highway, find the average velocity and distance traveled on each part of the trip. </SPAN>\n" );
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document.write( "Technically, note that you are talking about speeds, not velocities -- unless both the highway and the wilderness trail are straight lines....<br><BR>\n" );
document.write( "Let x be the average speed in mph on the trail; then the speed on the highway was x+25.<br><BR>\n" );
document.write( "4 hours at speed (x+25) plus 3 hours at speed x makes a total distance of 380 km:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%2B25%29%2B3%28x%29=380 ALIGN=MIDDLE  ALT=\"4%28x%2B25%29%2B3%28x%29=380\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B100%2B3x=380 ALIGN=MIDDLE  ALT=\"4x%2B100%2B3x=380\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x=280 ALIGN=MIDDLE  ALT=\"7x=280\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=40 ALIGN=MIDDLE  ALT=\"x=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "highway speed: x+25 = 65 mph<BR>\n" );
document.write( "hiking speed: x = 40 mph (impossible...!)<br><BR>\n" );
document.write( "Oh, well.  It's just a math problem, so the answers don't need to make sense in the real world....<br><BR>\n" );
document.write( " </SPAN>\n" );
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