document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=334401>Question 334401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car travels a total distance of 317 miles. On the way to work it travels at a speed of 58 mph and on the way back it travels at a speed of 52 mph. The total time taken for the car is 5 hours and 45 min. How long does each of the speeds take? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #239603 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=239603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A car travels a total distance of 317 miles. On the way to work it travels at a speed of 58 mph and on the way back it travels at a speed of 52 mph. The total time taken for the car is 5 hours and 45 min. How long does each of the speeds take?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let the distance to work be x miles<BR>\n" );
document.write( "speed = 58 mph<BR>\n" );
document.write( "the distance return will be 317-x miles<BR>\n" );
document.write( "speed = 52 mph<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F58+%2B+%28317-x%29%2F52+=+23%2F4 ALIGN=MIDDLE  ALT=\"x%2F58+%2B+%28317-x%29%2F52+=+23%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "LCM = 52*58<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2852x%2B58%2A317-+58x+%29%2F+%2852%2A58%29+=+23%2F4 ALIGN=MIDDLE  ALT=\"%2852x%2B58%2A317-+58x+%29%2F+%2852%2A58%29+=+23%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x+%2B18386=%2823%2A52%2A58%29+%2F+4+ ALIGN=MIDDLE  ALT=\"-8x+%2B18386=%2823%2A52%2A58%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "-8x +18386 = 13*23*58<BR>\n" );
document.write( "-8x=-18386+17342<BR>\n" );
document.write( "-8x=-1044<BR>\n" );
document.write( "x= -1044/-8<BR>\n" );
document.write( "x= 130.5 miles.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=time+=+distance+%2F+speed+ ALIGN=MIDDLE  ALT=\"time+=+distance+%2F+speed+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "130.5 / 58 = 2.25 hours at 58 mph<BR>\n" );
document.write( "..<BR>\n" );
document.write( "317-130.5 = 186.5 miles<BR>\n" );
document.write( "On return speed = 52 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=time+=+distance+%2F+speed+=+186.5%2F52 ALIGN=MIDDLE  ALT=\"time+=+distance+%2F+speed+=+186.5%2F52\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3.5 hours at 52 mph </SPAN>\n" );
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