document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=739216>Question 739216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ankita travel 14 km to home partially by rickshaw AND BY BUS SHE TAKES 1 2 HR IF SHE TRAVELS BY RICKSHAW AND THE REMAING DISTANCE BY BUS ON OTHER HAND IF SHE TRAVELS 4 KM BY RICKSHAW AND REMAING DISTANCE BY BUS SHE TAKES 9 MINUTES LONGER\r<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 #451069 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=451069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Will try to make sense of this.<BR>\n" );
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document.write( "Ankita travel 14 km home, partially by rickshaw and by bus.<BR>\n" );
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document.write( "She takes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr if is she travels 4 km by Rickshaw and takes the remaining distance by by bus.<BR>\n" );
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document.write( "On the other hand, if she travels 10 km by rickshaw, and the remaining distance by bus, she takes 9 min longer.<BR>\n" );
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document.write( "Assume you want to find the speed of the rickshaw and speed of the bus.<BR>\n" );
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document.write( "let r = speed of the rickshaw<BR>\n" );
document.write( "let b = speed of the bus<BR>\n" );
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document.write( "Write an time equation for the 1st statement (time = dist/speed):<BR>\n" );
document.write( "\"She takes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr if is she travels 4 km by Rickshaw and takes the remaining distance by by bus.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fr ALIGN=MIDDLE  ALT=\"4%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fb ALIGN=MIDDLE  ALT=\"10%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply equation by 2rb, to get rid of the denominators<BR>\n" );
document.write( "2rb*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fr ALIGN=MIDDLE  ALT=\"4%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2rb*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fb ALIGN=MIDDLE  ALT=\"10%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2rb*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cancel the denominators<BR>\n" );
document.write( "8b + 20r = rb<BR>\n" );
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document.write( "Write a time equation for the 2nd statement (time = dist/speed):<BR>\n" );
document.write( "\"if she travels 10 km by rickshaw, and the remaining distance by bus, she takes 9 min longer.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fr ALIGN=MIDDLE  ALT=\"10%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fb ALIGN=MIDDLE  ALT=\"4%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 30 + 9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fr ALIGN=MIDDLE  ALT=\"10%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fb ALIGN=MIDDLE  ALT=\"4%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 39<BR>\n" );
document.write( "change 39 min to hr (we're finding the speed in km/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fr ALIGN=MIDDLE  ALT=\"10%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fb ALIGN=MIDDLE  ALT=\"4%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2F60 ALIGN=MIDDLE  ALT=\"39%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fr ALIGN=MIDDLE  ALT=\"10%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fb ALIGN=MIDDLE  ALT=\"4%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F20 ALIGN=MIDDLE  ALT=\"13%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply equation by 20rb, to get rid of the denominators<BR>\n" );
document.write( "20rb*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fr ALIGN=MIDDLE  ALT=\"10%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 20rb*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fb ALIGN=MIDDLE  ALT=\"4%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20rb*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F20 ALIGN=MIDDLE  ALT=\"13%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cancel the denominators<BR>\n" );
document.write( "200b + 80r = 13rb<BR>\n" );
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document.write( "multiply the first equation by 4, subtract from the above equation<BR>\n" );
document.write( "200b + 80r = 13rb<BR>\n" );
document.write( "32b + 80r =  4rb<BR>\n" );
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document.write( "168b = 9rb<BR>\n" );
document.write( "divide both sides by by b<BR>\n" );
document.write( "168 = 9r<BR>\n" );
document.write( "r = 168/9<BR>\n" );
document.write( "r =  18.67 km/hr  is the speed of the rickshaw (Is that possible?)<BR>\n" );
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document.write( "Find the speed of the bus<BR>\n" );
document.write( "8b + 20r = rb<BR>\n" );
document.write( "8b + 20(18.67) = 18.67b\r<BR>\n" );
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document.write( "373.3 = 18.67b - 8b<BR>\n" );
document.write( "373.3 = 10.67b<BR>\n" );
document.write( "b = 373.3/10.67<BR>\n" );
document.write( "b ~ 35 km/hr is the speed of the bus <BR>\n" );
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document.write( "See if that checks out in the first statement, find the travel time of each<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F18.67 ALIGN=MIDDLE  ALT=\"4%2F18.67\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F35 ALIGN=MIDDLE  ALT=\"10%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( ".214 + .286 = .5 hrs\r<BR>\n" );
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