document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102480>Question 102480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes 1 hour longer to fly to St. Paul at 200 mi/h than it does to return at 250 mi/h. How far away is St. Paul? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74491 by </B><A HREF=/tutors/aboutme.mpl?userid=mjgulinello><B>mjgulinello(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mjgulinello><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let t = the time in hours that it takes to fly to St. Paul at 250mph.<BR>\n" );
document.write( "Since it takes 1 hour longer to fly there at 200mph, this will = t+1.\r<BR>\n" );
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document.write( "We know the distance to and from St. Paul is the same, so we can represent this distance two ways:\r<BR>\n" );
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document.write( "Distance = speed * time<BR>\n" );
document.write( "D = 250t<BR>\n" );
document.write( "and<BR>\n" );
document.write( "D = 200(t+1)\r<BR>\n" );
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document.write( "Since the two distances are equal, we can now plug the first formula into the second one and get an equation with one variable.\r<BR>\n" );
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document.write( "250t = 200(t+1)<BR>\n" );
document.write( "First use the distributive property on the right side of the equation.<BR>\n" );
document.write( "250t = 200t + 200<BR>\n" );
document.write( "Subtract 200t from each side of the equation.<BR>\n" );
document.write( "50t = 200<BR>\n" );
document.write( "Divide each side of the equation by 50.<BR>\n" );
document.write( "t = 4\r<BR>\n" );
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document.write( "Now we know the time it takes to travel to St. Paul at 250mph is 4 hours.\r<BR>\n" );
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document.write( "Next, we plug that into the equation for distance.<BR>\n" );
document.write( "D = 250t<BR>\n" );
document.write( "D = 250 * 4<BR>\n" );
document.write( "D = 1000\r<BR>\n" );
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document.write( "St. Paul is 1000 miles away.\r<BR>\n" );
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document.write( "We can check to make sure we got the right answer by using our second equation for distance.\r<BR>\n" );
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document.write( "D = 200(t+1)<BR>\n" );
document.write( "D = 200 * (4+1)<BR>\n" );
document.write( "D = 200 * 5<BR>\n" );
document.write( "D = 1000\r<BR>\n" );
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document.write( "Our answer checks out. That's all for this problem.<BR>\n" );
document.write( " </SPAN>\n" );
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