document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=456557>Question 456557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am really struggling with this. Could you please show me step by step how to solve this?<BR>\n" );
document.write( "The speed of train A is 20mph slower than the speed of train B. Train A travels 190 miles in the same time it takes train B to travel 290 miles. Find the speed of each train.\r<BR>\n" );
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document.write( "Thanks!! Was never good at word problems. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313387 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=313387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a = speed of train A<BR>\n" );
document.write( "Let b = speed of train B<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"the speed of train A is 20mph slower than the speed of train B.\"<BR>\n" );
document.write( "a = b - 20<BR>\n" );
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document.write( "\" Train A travels 190 miles in the same time it takes train B to travel 290 miles.<BR>\n" );
document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( "a's time = b's time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=190%2Fa ALIGN=MIDDLE  ALT=\"190%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=290%2Fb ALIGN=MIDDLE  ALT=\"290%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the 1st equation, replace a with (b-20), and you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=190%2F%28%28b-20%29%29 ALIGN=MIDDLE  ALT=\"190%2F%28%28b-20%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=290%2Fb ALIGN=MIDDLE  ALT=\"290%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "290(b-20) = 190b<BR>\n" );
document.write( "290b - 5800 = 190b<BR>\n" );
document.write( "290b - 190b = 5800<BR>\n" );
document.write( "100b = 5800<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5800%2F100 ALIGN=MIDDLE  ALT=\"5800%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 58 mph is train B<BR>\n" );
document.write( "then<BR>\n" );
document.write( "58 - 20 = 38 mph is Train A<BR>\n" );
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document.write( "We can confirm this solution by finding the time of each train (should be the same)<BR>\n" );
document.write( "190/38 = 5 hrs<BR>\n" );
document.write( "290/58 = 5 hrs<BR>\n" );
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document.write( "Did this make sense to you?\r<BR>\n" );
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document.write( " Find the speed of each train.  </SPAN>\n" );
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