document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270126>Question 270126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been trying to figure out this problem for an hour now I cannot get the answer the book gives me in the back. I found the problem here on your site already but the answers are not the same as the back of my book either.\r<BR>\n" );
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document.write( "This is the link to the problem on your site, http://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.164399.html\r<BR>\n" );
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document.write( "The problem is the same as in my book but the answers in the back say it should be : 2 hr at 50 mph and 3 hr at 40 mph.\r<BR>\n" );
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document.write( "I am so lost! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197966 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=197966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are three answers on algebra.com to your problem.\r<BR>\n" );
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document.write( "The top answer is wrong.\r<BR>\n" );
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document.write( "The bottom two answers are right.\r<BR>\n" );
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document.write( "My method for solving this problem would be as follows:\r<BR>\n" );
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document.write( "Let T1 equal the time traveled at 50 miles per hour.<BR>\n" );
document.write( "Let T2 equal the time traveled at 40 miles per hour.\r<BR>\n" );
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document.write( "T1 + T2 must be equal to 5 since the total time traveled is 5 hours.\r<BR>\n" );
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document.write( "Since Rate * Time equals distance, and since the total distance equals 220 miles, we get:\r<BR>\n" );
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document.write( "50*T1 + 40*T2 = 220\r<BR>\n" );
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document.write( "You have two equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "They are:\r<BR>\n" );
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document.write( "50*T1 + 40*T2 = 220\r<BR>\n" );
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document.write( "T1 + T2 = 5\r<BR>\n" );
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document.write( "From the second equation, we can get T1 in terms of T2.\r<BR>\n" );
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document.write( "We get T1 = 5 - T2.\r<BR>\n" );
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document.write( "We substitute 5 - T2 for T1 in the first equation to get:\r<BR>\n" );
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document.write( "50*(5-T2) + 40*T2 = 220\r<BR>\n" );
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document.write( "We simplify by removing parentheses to get:\r<BR>\n" );
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document.write( "50*5 - 50*T2 + 40*T2 = 220\r<BR>\n" );
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document.write( "We simplify further and combine like terms to get:\r<BR>\n" );
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document.write( "250 - 10*T2 = 220\r<BR>\n" );
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document.write( "We subtract 250 from both sides of the equation to get:\r<BR>\n" );
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document.write( "-10*T2 = 220 = 250 = -30\r<BR>\n" );
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document.write( "We multiply both sides of this equation by -1 to get:\r<BR>\n" );
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document.write( "10*T2 = 30\r<BR>\n" );
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document.write( "We divide both sides of this equation by 10 to get:\r<BR>\n" );
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document.write( "T2 = 3\r<BR>\n" );
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document.write( "Since T2 = 3, then T1 = 2, and our original equations of:\r<BR>\n" );
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document.write( "50*T1 + 40*T2 = 220 becomes 50*2 + 40*3 = 220 becomes 100 + 120 = 220 which is true.\r<BR>\n" );
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document.write( "T1 + T2 = 5 becomes 2 + 3 = 5 which is also true.\r<BR>\n" );
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document.write( "The answer of 2 hours at 50 miles per hour and 3 hours at 40 miles per hour is good.\r<BR>\n" );
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document.write( "If you check the solutions again, you will see that 3 people answered and 2 out of the 3 were correct.\r<BR>\n" );
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document.write( "I looked at the first answer again (the wrong one) and I'm not sure he was answering the question that was asked.  \r<BR>\n" );
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document.write( "Hopefully this will end your confusion.<BR>\n" );
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document.write( " </SPAN>\n" );
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