document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152689>Question 1152689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car travels 360 km and comes back in total 19 hours, While returning speed of car is decreased by 4 km/hr than actual speed. What is the distance covered by car in 7.5 hours with actual speed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774762 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=774762\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A car travels 360 km and comes back in total 19 hours, While returning speed of car is decreased by 4 km/hr than actual speed.<BR>\n" );
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document.write( "let s = actual speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-4) = return speed<BR>\n" );
document.write( "the dist both ways is the same, write a time equation; time = dist/speed<BR>\n" );
document.write( "time out + time back = 19 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2Fs ALIGN=MIDDLE  ALT=\"360%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F%28%28s-4%29%29 ALIGN=MIDDLE  ALT=\"360%2F%28%28s-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 19 <BR>\n" );
document.write( "multiply equation by s(s-4), cancel the denominators<BR>\n" );
document.write( "360(s-4) + 360s = 19s(s-4)<BR>\n" );
document.write( "360s - 1440 + 360s = 19s^2 - 76s<BR>\n" );
document.write( "arrange as a quadratic equation<BR>\n" );
document.write( "19s^2 - 76s - 720s + 1440 = 0<BR>\n" );
document.write( "19s^2 - 796s + 1440 = 0<BR>\n" );
document.write( "Use the quadratic formula; a=19 b=-796; c=1440<BR>\n" );
document.write( "I got the reasonable solution of <BR>\n" );
document.write( "s = 40 mph is actual speed<BR>\n" );
document.write( "\"What is the distance covered by car in 7.5 hours with actual speed\"<BR>\n" );
document.write( "7.5 * 40 = 300 mi<BR>\n" );
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document.write( "Check this find the actual time each way<BR>\n" );
document.write( "360/40 = 9 hrs<BR>\n" );
document.write( "360/36 = 10<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "total time: 19 hrs </SPAN>\n" );
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