document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=246079>Question 246079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> at 9:00am, a car and a bus start from manila and head for the north. by 12:00noon the car, already 85km ahead of the bus, suffers a total breakdown. At what time will the bus pass by the car if the bus just maintain its speed which four-fifths that 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 #179821 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=179821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are told the bus travels at 4/5 speed of the car.  So the car travels at 5/4 speed of bus.<BR>\n" );
document.write( "b = 4/5*c<BR>\n" );
document.write( "c = 5/4*b<BR>\n" );
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document.write( "We are told the car drives for 3 hr at the speed c = 5/4*b.<BR>\n" );
document.write( "d = rt<BR>\n" );
document.write( "d = 5/4b*3 = 15/4b<BR>\n" );
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document.write( "We are told that at that time the car had traveled 85 km more than the bus.<BR>\n" );
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document.write( "d = 3b + 85<BR>\n" );
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document.write( "If a=b and b=c, then a=c.<BR>\n" );
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document.write( "15/4*b = 3b+ 85<BR>\n" );
document.write( "or<BR>\n" );
document.write( "15/4*b = 12/4*b + 85<BR>\n" );
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document.write( "Subtract 12/4*b from both sides<BR>\n" );
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document.write( "3/4b = 85<BR>\n" );
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document.write( "b = (4*85)/3 = 340/3 = 113 1/3 = 113.3333333...<BR>\n" );
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document.write( "So at the time the car broke down, the bus had traveled<BR>\n" );
document.write( "d = 3*113.333 = 340 km<BR>\n" );
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document.write( "340 km is 85 less than the car travelled, so the car had travelled 340+85 = 425.<BR>\n" );
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document.write( "The bus will cover the 85 km in t time<BR>\n" );
document.write( "d = rt<BR>\n" );
document.write( "t = d/r = 85/113.333<BR>\n" );
document.write( "t = 0.75 hr = 45 min<BR>\n" );
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document.write( "So the bus will pass the car at 12:45 pm.<BR>\n" );
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document.write( "We can check this solution by checking to see if the bus can travel 425 km in 3.75 hr.<BR>\n" );
document.write( "3.75*113.333333333333 = 425.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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