document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200417>Question 200417</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321279200/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> in canada, medicine and cranbrook are 300Km apart. Harry rides 20 Km per hr faster than yoshi rides his yamaha. find harry's average speed if he travels from cranbrook to medicine hat in 1.1/4 less time than yoshi. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150814 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=150814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In Canada, Medicine Hat and Cranbrook are 300Km apart. Harry rides 20 Km per<BR>\n" );
document.write( " hr faster than Yoshi rides his Yamaha. Find Harry's average speed if he<BR>\n" );
document.write( " travels from Cranbrook to Medicine hat in 1.1/4 less time than Yoshi.<BR>\n" );
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document.write( "Let s = H's speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-20) = Y's speed<BR>\n" );
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document.write( "Write a time equation; Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "H's time + 1.25 hrs = Y's time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2Fs ALIGN=MIDDLE  ALT=\"300%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1.25 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2F%28%28s-20%29%29 ALIGN=MIDDLE  ALT=\"300%2F%28%28s-20%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by s(s-20), results:<BR>\n" );
document.write( "300(s-20) + 1.25s(s-20) = 300s<BR>\n" );
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document.write( "300s - 6000 + 1.25s^2 - 25s = 300s<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "1.25s^2 + 300s - 300s - 25s - 6000 = 0<BR>\n" );
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document.write( "1.25s^2 - 25s - 6000 = 0<BR>\n" );
document.write( "Divide equation by 1.25 to simplify:<BR>\n" );
document.write( "s^2 - 20s - 4800 = 0<BR>\n" );
document.write( "Factor <BR>\n" );
document.write( "(s - 80)(s + 60) = 0<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "s = 80 km/hr is H's average speed<BR>\n" );
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document.write( "Check solution by finding the times; (60 km/hr is Y's speed)<BR>\n" );
document.write( "300/60 = 5 hrs<BR>\n" );
document.write( "300/80 = 3.75 hrs<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "differ = 1.25 hr\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );