document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43220>Question 43220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bus leaves a station at 1 p.m., traveling west at an average rate of 44 mi/h.  One hour later a second bus leaves along the same route, traveling at 54 mi/h.  At what time will the two buses be 274 mi apart? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28246 by </B><A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><B>aaaaaaaa(138)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><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=28246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The position of the first bus at x hours (counting from the time the second bus departed) is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+44x+%2B+44 ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+44x+%2B+44\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The position of the second one is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+54x ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+54x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We want to solve for how many hours (x), the following equation will be true:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D-d%5B1%5D+=+274 ALIGN=MIDDLE  ALT=\"d%5B2%5D-d%5B1%5D+=+274\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since we used <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > only for clarity, let's substitute for the true formulas:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54x+-+%2844x+%2B+44%29+=+274 ALIGN=MIDDLE  ALT=\"54x+-+%2844x+%2B+44%29+=+274\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x+-+44+=+274 ALIGN=MIDDLE  ALT=\"10x+-+44+=+274\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And we have a linear equation! Solving it we have:\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_equation.solver>SOLVE a linear equation</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Ax%2B-44=274 ALIGN=MIDDLE  ALT=\"10%2Ax%2B-44=274\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Move -44 to the right: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Ax=274--44 ALIGN=MIDDLE  ALT=\"10%2Ax=274--44\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Divide by 10: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28274--44%29%2F10=318%2F10+=+31.8 ALIGN=MIDDLE  ALT=\"x=%28274--44%29%2F10=318%2F10+=+31.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
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document.write( "Verifying...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2A%2831.8%29+=+1717.2 ALIGN=MIDDLE  ALT=\"54%2A%2831.8%29+=+1717.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44%2A%2831.8%29+%2B+44+=+1443.2 ALIGN=MIDDLE  ALT=\"44%2A%2831.8%29+%2B+44+=+1443.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1717+-+1443+=+274 ALIGN=MIDDLE  ALT=\"1717+-+1443+=+274\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, that distance will happen at 31.8 hours after the second bus left (2 p.m or 14:00). Remember that 0.8 hours is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.1%2A60%2A8 ALIGN=MIDDLE  ALT=\"0.1%2A60%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes, or 48. To get to 24:00 we need 10 hours, so it will happen at 31 - 10 = 21 hours and 48 minutes of the next day. A long time! </SPAN>\n" );
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