document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164494>Question 164494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kris drove part of a 185 mile trip at 50 mph and the rest at 55 mph. Find the distance she traveled at 50 mph if her total driving time was 3 hours and 30 minutes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121222 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121222\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Kris drove part of a 185 mile trip at 50 mph and the rest at 55 mph. Find the distance she traveled at 50 mph if her total driving time was 3 hours and 30 minutes.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = distance traveled at 50 mph<BR>\n" );
document.write( "Then the rest would be:<BR>\n" );
document.write( "(185-d) = distance traveled at 55 mph<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Change 3 hr 30 min to 3.5 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Time at 50 mph + time at 55 mph = 3.5 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F50 ALIGN=MIDDLE  ALT=\"d%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28185-d%29%29%2F55 ALIGN=MIDDLE  ALT=\"%28%28185-d%29%29%2F55\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3.5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply equation by a common denominator 50*55 = 2750<BR>\n" );
document.write( "2750*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F50 ALIGN=MIDDLE  ALT=\"d%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2750*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28185-d%29%29%2F55 ALIGN=MIDDLE  ALT=\"%28%28185-d%29%29%2F55\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2750(3.5)<BR>\n" );
document.write( "Cancel the denominators, results<BR>\n" );
document.write( "55d + 50(185-d) = 9625<BR>\n" );
document.write( ":<BR>\n" );
document.write( "55d + 9250 - 50d = 9625<BR>\n" );
document.write( ";<BR>\n" );
document.write( "55d - 50d = 9625 - 9250<BR>\n" );
document.write( ":<BR>\n" );
document.write( "5d = 375<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=375%2F5 ALIGN=MIDDLE  ALT=\"375%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 75 mi at 50 mph<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the time at each speed<BR>\n" );
document.write( "(185-75)/55 = 2hr<BR>\n" );
document.write( " 75/50 = 1.5 hrs; adds up to 3.5 hrs </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );