document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908919>Question 908919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles. She was able to average 50 miles per hour for part of the trip but had to slow down to 45 miles per hour for the rest of the time due to poor weather. How many hours did she drive at each speed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551382 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles. She was able to average 50 miles per hour for part of the trip but had to slow down to 45 miles per hour for the rest of the time due to poor weather. How many hours did she drive at each speed?\r<BR>\n" );
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document.write( "Taylor took 6 hours to drive home from college  \r<BR>\n" );
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document.write( " total distance of 290 miles. \r<BR>\n" );
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document.write( " average 50 miles per hour for part of the trip...........x miles<BR>\n" );
document.write( "45 miles per hour for the rest of the time ..............290-x\r<BR>\n" );
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document.write( " time for first part + time for second part = 6\r<BR>\n" );
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document.write( "t=d/r\r<BR>\n" );
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document.write( "x/50 + (290-x)/45 = 6\r<BR>\n" );
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document.write( "LCM = 50*45\r<BR>\n" );
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document.write( "45*x -50(190-x) = 6*50*45\r<BR>\n" );
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document.write( "45x-50*190+50x=6*50*45\r<BR>\n" );
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document.write( "90x= 6*50*45+(50*90)\r<BR>\n" );
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document.write( "solve \r<BR>\n" );
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document.write( "x=200 miles ...... first part<BR>\n" );
document.write( "90 miles  second part\r<BR>\n" );
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document.write( "200/50 = 4 hours first part\r<BR>\n" );
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document.write( "90/45 = 2\r<BR>\n" );
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document.write( " </SPAN>\n" );
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