document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984940>Question 984940</A>: <I><SPAN STYLE=\"word-break: break-all;\"> locomotive travels on a straight track at a constant speed of 40mph, then reverses direction and returns to its starting point, traveling at a constant speed of 60mph.\r<BR>\n" );
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document.write( "A. What is the average velocity for the round trip?<BR>\n" );
document.write( "B. What is the average speed for the round trip?<BR>\n" );
document.write( "C. What is the total distance traveled by the train if the trip took 5 hours?\r<BR>\n" );
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document.write( "Please help, and Thank You!!!!<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 #605795 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=605795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "First, &nbsp;let us answer the third question:\r<BR>\n" );
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document.write( ">>> C. What is the total distance traveled by the train if the trip took &nbsp;5&nbsp; hours? <<<\r<BR>\n" );
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document.write( "Let &nbsp;<B>L</B>&nbsp; be the total distance. &nbsp;Then you have the equation based on given data \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2F40 ALIGN=MIDDLE  ALT=\"L%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2F60 ALIGN=MIDDLE  ALT=\"L%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Solve it by simplifying step by step:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3L%2F120 ALIGN=MIDDLE  ALT=\"3L%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L%2F120 ALIGN=MIDDLE  ALT=\"2L%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
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document.write( "3L + 2L = 5*120,\r<BR>\n" );
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document.write( "5L = 5*120,\r<BR>\n" );
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document.write( "L = 120.\r<BR>\n" );
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document.write( "So, &nbsp;the total distance is &nbsp;120 miles.\r<BR>\n" );
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document.write( "Now, we can answer the second question:<BR>\n" );
document.write( ">>> B. What is the average speed for the round trip? <<<\r<BR>\n" );
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document.write( "The round trip was &nbsp;120 = 120 = 240 miles, &nbsp;and it took 5 hours.\r<BR>\n" );
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document.write( "Hence, &nbsp;the average speed for the round trip is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F5 ALIGN=MIDDLE  ALT=\"240%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 48 miles.\r<BR>\n" );
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document.write( "Finally, &nbsp;the average velocity is &nbsp;0, &nbsp;since the the locomotive returned back to the starting point and the displacement is zero after &nbsp;5 hours.\r<BR>\n" );
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document.write( "That is all. \r<BR>\n" );
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