document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159792>Question 159792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two automobiles travel at the rate of 50kph and 30kph respectively. the faster travels 2 hours more than the other and goes 140 kilometers farther. find the distance traveled by each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117909 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=117909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two automobiles travel at the rate of 50kph and 30kph respectively. the faster travels 2 hours more than the other and goes 140 kilometers farther. find the distance traveled by each.<BR>\n" );
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document.write( "Let d = distance traveled by the slow car<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(d+140) = distance traveled by the fast car<BR>\n" );
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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" );
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document.write( "Fast car time - 2hrs = slow car time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d%2B140%29%29%2F50 ALIGN=MIDDLE  ALT=\"%28%28d%2B140%29%29%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F30 ALIGN=MIDDLE  ALT=\"d%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by 150 to get rid of the denominators, results:<BR>\n" );
document.write( "3(d + 140) - 2(150) = 5d<BR>\n" );
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document.write( "3d + 420 - 300 = 5d<BR>\n" );
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document.write( "120 = 5d - 3d<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F2 ALIGN=MIDDLE  ALT=\"120%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 60 km traveled by the slow car<BR>\n" );
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document.write( "60 + 140 = 200 km traveled by the fast car<BR>\n" );
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document.write( "Check the solutions; find the times of each car<BR>\n" );
document.write( "200/50 = 4 hrs<BR>\n" );
document.write( "60/30 =  2 hrs<BR>\n" );
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document.write( "differ = 2 hrs <BR>\n" );
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