document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99321>Question 99321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bus travels from Town A to town B at constant speed. It passes a car travelling at constant speed of 90km/h from the opposite direction. 1 1/2 hours later the bus reaches town B but the car is only 25km away from town A. If the bus took 4 hours to complete the whole journey,What is the distance between the 2 towns? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72306 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=72306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bus travels from Town A to town B at constant speed. It passes a car traveling at constant speed of 90km/h from the opposite direction. 1 1/2 hours later the bus reaches town B, but the car is only 25km away from town A. If the bus took 4 hours to complete the whole journey,What is the distance between the 2 towns?<BR>\n" );
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document.write( "Let d = distance between the two towns AB:<BR>\n" );
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document.write( "Speed of the car = 90<BR>\n" );
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document.write( "Speed of the bus = d/4; (speed = dist/time)<BR>\n" );
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document.write( "Trying to visualize this will help:<BR>\n" );
document.write( "A-------25------------x--------------B<BR>\n" );
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document.write( "They met at x<BR>\n" );
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document.write( "Bus was at x, 1.5 hrs from B, or 2.5 hr from A (Total time given as 4 hrs)\r<BR>\n" );
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document.write( "When bus reaches B,<BR>\n" );
document.write( "Car = 90*1.5 = 135 km from x<BR>\n" );
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document.write( "It tells us the car is 25 km for A at this time<BR>\n" );
document.write( "Therefore:<BR>\n" );
document.write( "x = 135 + 25 = 160 km from A<BR>\n" );
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document.write( "Find the speed of the bus:<BR>\n" );
document.write( "2.5 hrs to reach x, which is 160 km from A<BR>\n" );
document.write( "Bus speed = 160/2.5 = 64 km/hr<BR>\n" );
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document.write( "We know that the speed of the bus also = d/4<BR>\n" );
document.write( "d/4 = 64<BR>\n" );
document.write( "d = 64 * 4<BR>\n" );
document.write( "d = 256 km is the distance between the two towns<BR>\n" );
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document.write( "Check solution by seeing if the car took 1.5 hr to travel the 135 km from x<BR>\n" );
document.write( "to a point 25 km from A<BR>\n" );
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document.write( "Speed = 135/1.5 = 90 km/hr which is the speed given for the car<BR>\n" );
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document.write( "There may be a simpler, more elegant, way to do this, but it escapes me.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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