document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011621>Question 1011621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John can walk at 5 km/h and run at 15 km/h. A and B are two stops on a road. Both are 2 km from John’s home. <BR>\n" );
document.write( "a)The bus leaves from A in 15 minutes. How far can John walk from home before he has to run to catch the bus?<BR>\n" );
document.write( "b)It takes the bus 3 minutes to travel from A to B. If John catches the bus at B, how much less running does John have to do?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627359 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=627359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  John can walk at 5 km/h and run at 15 km/h.<BR>\n" );
document.write( " A and B are two stops on a road.<BR>\n" );
document.write( " Both are 2 km from John’s home.\r<BR>\n" );
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document.write( "a)The bus leaves from A in 15 minutes.<BR>\n" );
document.write( " How far can John walk from home before he has to run to catch the bus?<BR>\n" );
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document.write( "change 15 min to .25 hrs ( we're dealing in km/hr)<BR>\n" );
document.write( "let t = time spent walking in hrs<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(.25-t) = time spent running in hrs<BR>\n" );
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document.write( "Write a distance equation; dist = speed * time<BR>\n" );
document.write( "walk dist + run dist = 2 km<BR>\n" );
document.write( "5t + 15(.25-t) = 2<BR>\n" );
document.write( "5t + 3.75 - 15t<BR>\n" );
document.write( "5t - 15t = 2 - 3.75<BR>\n" );
document.write( "-10t = -1.75<BR>\n" );
document.write( "t = -1.75/-10<BR>\n" );
document.write( "t = +.175 hrs walking<BR>\n" );
document.write( "How far can he walk in this time?<BR>\n" );
document.write( "5 * .175 = .875 km walking before he has to run 1.125 km<BR>\n" );
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document.write( "b)It takes the bus 3 minutes to travel from A to B.<BR>\n" );
document.write( " If John catches the bus at B, how much less running does John have to do?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "That means he has 3 more minutes to catch the bus at B, or 18 min<BR>\n" );
document.write( "Change 18 min to hrs, 18/60 = .3 hrs<BR>\n" );
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document.write( "let t = time spent walking in hrs<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(.3-t) = time spent running in hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a distance equation; dist = speed * time<BR>\n" );
document.write( "walk dist + run dist = 2 km<BR>\n" );
document.write( "5t + 15(.3-t) = 2<BR>\n" );
document.write( "5t + 4.5 - 15t<BR>\n" );
document.write( "5t - 15t = 2 - 4.5<BR>\n" );
document.write( "-10t = -2.5<BR>\n" );
document.write( "t = -2.5/-10<BR>\n" );
document.write( "t = +.25 hrs walking<BR>\n" );
document.write( "How far can he walk in this time?<BR>\n" );
document.write( "5 * .25 = 1.25 km walking before he has to run .75 km<BR>\n" );
document.write( "Find how much less running 1.125 - .75 = .375 km less running<BR>\n" );
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document.write( "See if that checks out. find the distance walking and distance running<BR>\n" );
document.write( "walking: .25*5 = 1.25 km<BR>\n" );
document.write( "running: (.3-.25)*15 = .75 km<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Total distance: 2 km </SPAN>\n" );
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