document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982790>Question 982790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car travels at a constant speed to cover a distance of 460km. If its speed is increased by 15km/h, the time will decrease by 90 min. what is the speed of the car? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603585 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=603585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "let speed of car be x\r<BR>\n" );
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document.write( "time taken = 460/x\r<BR>\n" );
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document.write( "speed increased by 15 km/h\r<BR>\n" );
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document.write( "new speed = x+15\r<BR>\n" );
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document.write( "new time = 460/(x+15)\r<BR>\n" );
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document.write( "saves 1.5 hours =3/2\r<BR>\n" );
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document.write( "460/x - 460/(x+15) = 3/2\r<BR>\n" );
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document.write( "(460(x+15)-460x)/x(x+15) = 3/2\r<BR>\n" );
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document.write( "460x+6900-460x = (x^2+15x)*3/2\r<BR>\n" );
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document.write( "6900*2/3 =(x^2+15x) \r<BR>\n" );
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document.write( "4600 = x^2+15x\r<BR>\n" );
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document.write( "x^2+15x-4600=0\r<BR>\n" );
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document.write( "solve the quadratic equation <BR>\n" );
document.write( "x= speed =60.7 km/h\r<BR>\n" );
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document.write( " </SPAN>\n" );
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