document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209220>Question 1209220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Claire is away at college and needs something from home, 625 miles away. She arranges to meet her father at a location in between home and college, so he can give her the item.<BR>\n" );
document.write( "a. Claire averages 55 mph, and her part of the trip takes h hours. Represent the miles she drove algebraically.<BR>\n" );
document.write( "b. Her father takes 2 more hours than Claire to make his part of the trip, and his average speed is  50 mph. Represent the distance he drove algebraically.<BR>\n" );
document.write( "c. Using your answers from (a) and (b), write the sum of the distances driven by Claire and her father. Simplify your expression as much as possible.<BR>\n" );
document.write( "d. What is the actual sum of the distances that they both drove?<BR>\n" );
document.write( "e. Write an equation that can be used to find the number of hours they traveled.<BR>\n" );
document.write( "f. How many hours did it take Claire to drive her part of the trip?<BR>\n" );
document.write( "g. How many miles did Claire drive?<BR>\n" );
document.write( "h. How many hours did her father drive for his part of the trip?<BR>\n" );
document.write( "i. How many miles did her father drive?<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 #847854 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</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=847854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Claire is away at college and needs something from home, 625 miles away. <BR>\n" );
document.write( "She arranges to meet her father at a location in between home and college, <BR>\n" );
document.write( "so he can give her the item.<BR>\n" );
document.write( "a. Claire averages 55 mph, and her part of the trip takes h hours. Represent the miles she drove algebraically.<BR>\n" );
document.write( "b. Her father takes 2 more hours than Claire to make his part of the trip, and his average speed is  50 mph. <BR>\n" );
document.write( "Represent the distance he drove algebraically.<BR>\n" );
document.write( "c. Using your answers from (a) and (b), write the sum of the distances driven by Claire and her father. <BR>\n" );
document.write( "Simplify your expression as much as possible.<BR>\n" );
document.write( "d. What is the actual sum of the distances that they both drove?<BR>\n" );
document.write( "e. Write an equation that can be used to find the number of hours they traveled.<BR>\n" );
document.write( "f. How many hours did it take Claire to drive her part of the trip?<BR>\n" );
document.write( "g. How many miles did Claire drive?<BR>\n" );
document.write( "h. How many hours did her father drive for his part of the trip?<BR>\n" );
document.write( "i. How many miles did her father drive?<BR>\n" );
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document.write( "(a)  55*h  miles.\r\n" );
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document.write( "(b)  50*(h+2)  miles.\r\n" );
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document.write( "(c)  55h + 50*(h+2) = 55h + 50h + 100 = 105h + 100  miles.\r\n" );
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document.write( "(d)  105h + 100 miles.\r\n" );
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document.write( "(e)  105h + 100 = 625  miles.\r\n" );
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document.write( "(f)  From the equation,  h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28625-100%29%2F105 ALIGN=MIDDLE  ALT=\"%28625-100%29%2F105\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=525%2F105 ALIGN=MIDDLE  ALT=\"525%2F105\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5  hours\r\n" );
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document.write( "(g)  55*5 = 275  miles.\r\n" );
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document.write( "(h)  5+2  = 7 hours.\r\n" );
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document.write( "(i)  50*7 = 350  miles.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "All the parts from (a) to (i) are completed.\r<BR>\n" );
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document.write( "=====================\r<BR>\n" );
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document.write( "Looking at this problem, I think that it is strange way to teach.\r<BR>\n" );
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document.write( "This way determines each step of a student and does not leave a room for him / (for her) to think on his/her own.\r<BR>\n" );
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document.write( "The problems like this one are the simplest algebra word problems on Travel and Distance.\r<BR>\n" );
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document.write( "I placed several problems on this subject in my lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/travel/Travel-and-Distance-problems.lesson>Travel and Distance problems</A>  \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "To be prepared to solving such problems, a student should be armed with these simple ideas:\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;formulas of the type distance = rate * time\r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;understanding that the total distance in oncoming traffic <BR>\n" );
document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;is the sum of partial distances.\r<BR>\n" );
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document.write( "The rest is for the student's common sense.\r<BR>\n" );
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document.write( "Developing his or her common sense is the major goal of these exercises.\r<BR>\n" );
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document.write( "At least, my teachers taught me this way during my school years.\r<BR>\n" );
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document.write( "This goal is not achievable, if the student's room of thinking <BR>\n" );
document.write( "is tightly compressed to minimum possible dimensions.\r<BR>\n" );
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document.write( "So, I am strictly opposed to such methods of teaching.\r<BR>\n" );
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