document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=662379>Question 662379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi. I need help with this word problem.<BR>\n" );
document.write( "Samantha rides the ski lift to the top of blue mountain, a distance of 1 3/4 kilometers. She then skis directly down the slope. If she skis 5 times as fast as the lift travels, and the total trip takes 45 minutes, find the rate at which she skis.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #412221 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=412221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Samantha rides the ski lift to the top of blue mountain, a distance of 1 3/4 kilometers. She then skis directly down the slope.<BR>\n" );
document.write( " If she skis 5 times as fast as the lift travels, and the total trip takes 45 minutes, find the rate at which she skis.<BR>\n" );
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document.write( "Let s = speed of the lift<BR>\n" );
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document.write( "5s = skiing speed<BR>\n" );
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document.write( "Write a time equation, change 45 min to .75 hrs, speed will be in km/hr<BR>\n" );
document.write( "time = dist/speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.75%2Fs ALIGN=MIDDLE  ALT=\"1.75%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.75%2F%285s%29 ALIGN=MIDDLE  ALT=\"1.75%2F%285s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .75<BR>\n" );
document.write( "multiply by 5s to clear the denominators, results:<BR>\n" );
document.write( "5(1.75) + 1.75 = 5s(.75)<BR>\n" );
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document.write( "8.75 + 1.75 = 3.75s<BR>\n" );
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document.write( "10.5 = 3.75s<BR>\n" );
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document.write( "s = 10.5/3.75<BR>\n" );
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document.write( "s = 2.8 km/hr is the lift speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "5(2.8) = 14 km/h is the skiing speed<BR>\n" );
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document.write( "Check this by finding the times up and down<BR>\n" );
document.write( "1.75/2.8 = .625 hrs<BR>\n" );
document.write( "1.75/14 =  .125 hrs<BR>\n" );
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document.write( "total time: .75 hrs which is 45min\r<BR>\n" );
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