document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=612723>Question 612723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am very confused by the problem below, mostly once you get the common denominator. What do you do after you get that to complete the problem? We were shown an example, but it was not very explanatory. Any helpful tips would be much appreciated. Thanks!!!<BR>\n" );
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document.write( "During the first part of a trip, a canoeist travels 49 miles at a certain speed. The canoeist travels 4 miles on the second part of the trip at a speed of 5 mph slower. The total time for the trip is 2 hours. What was the speed on each part of the trip?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385695 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=385695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 49 miles at a certain speed.<BR>\n" );
document.write( " The canoeist travels 4 miles on the second part of the trip at a speed of 5 mph slower.<BR>\n" );
document.write( " The total time for the trip is 2 hours.<BR>\n" );
document.write( " What was the speed on each part of the trip?<BR>\n" );
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document.write( "Let s = speed on the 1st 49 mi<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-5) = speed on the 2nd part (4 mi)<BR>\n" );
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document.write( "Write a time equation: time = dist/speed<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49%2Fs ALIGN=MIDDLE  ALT=\"49%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28%28s-5%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28%28s-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "Multiply by s(s-5)<BR>\n" );
document.write( "s(s-5)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49%2Fs ALIGN=MIDDLE  ALT=\"49%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + s(s-5)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28%28s-5%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28%28s-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2s(s-5)<BR>\n" );
document.write( "Cancel the denominators<BR>\n" );
document.write( "49(s-5) + 4s = 2s^2 - 10s<BR>\n" );
document.write( "49s - 245 + 4s = 2s^2 - 10s<BR>\n" );
document.write( "53s - 245 = 2s^2 - 10s<BR>\n" );
document.write( "Combine as a quadratic equation on the right<BR>\n" );
document.write( "0 = 2s^2 - 10s - 53s + 245<BR>\n" );
document.write( "2s^2 - 63s + 245 = 0<BR>\n" );
document.write( "We have to use the quadratic formula to find s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In this problem; x=s; a=2; b=-63; c= 245<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28-%28-63%29+%2B-+sqrt%28-63%5E2-4%2A2%2A245+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"s+=+%28-%28-63%29+%2B-+sqrt%28-63%5E2-4%2A2%2A245+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions, but only one will make sense<BR>\n" );
document.write( "s ~ 26.955 mi for the 1st 49 mi <BR>\n" );
document.write( "then<BR>\n" );
document.write( "26.955 - 5 = 21.955 mph for the last 4 mi<BR>\n" );
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document.write( "Confirm this; find the time with these solutions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49%2F26.955 ALIGN=MIDDLE  ALT=\"49%2F26.955\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F20.955 ALIGN=MIDDLE  ALT=\"4%2F20.955\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2  </SPAN>\n" );
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