document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=715657>Question 715657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if a person travels for a total distance of 2880 km by bus travelling at 50 kph and then by plane travelling at 700 kph. What distance was travelled by bus and what distance was travelled by plane if the total time taken was 5 hours?\r<BR>\n" );
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document.write( "Tried to use D/S = T but couldn't come up with two linear equations.    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439542 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=439542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if a person travels for a total distance of 2880 km by bus travelling at 50 kph and then by plane travelling at 700 kph.<BR>\n" );
document.write( " What distance was travelled by bus and what distance was travelled by plane if the total time taken was 5 hours? <BR>\n" );
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document.write( "Let p = distance traveled by plane<BR>\n" );
document.write( "Let b = distance traveled by bus<BR>\n" );
document.write( "then<BR>\n" );
document.write( "p + b = 2880<BR>\n" );
document.write( "we can also write it<BR>\n" );
document.write( "b = (2880-p)\r<BR>\n" );
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document.write( "Write a time equation; time = dist/speed<BR>\n" );
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document.write( "Bus time + Plane time = 5 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F50 ALIGN=MIDDLE  ALT=\"b%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2F700 ALIGN=MIDDLE  ALT=\"p%2F700\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "replace b with (2880-p)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282880-p%29%2F50 ALIGN=MIDDLE  ALT=\"%282880-p%29%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2F700 ALIGN=MIDDLE  ALT=\"p%2F700\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "multiply by 700, to clear the denominators, resulting in:<BR>\n" );
document.write( "14(2880 - p) + p + 700(5)<BR>\n" );
document.write( "40320 - 13p = 3500<BR>\n" );
document.write( "40320 - 14p + p = 3500<BR>\n" );
document.write( "40320 - 3500 = 13p<BR>\n" );
document.write( "36820 = 13p<BR>\n" );
document.write( "p = 36820/13<BR>\n" );
document.write( "p = 2832.3 km by plane<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2880 - 2832.3 = 47.7 km by bus<BR>\n" );
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document.write( "See if that checks out, find the actual time of each<BR>\n" );
document.write( "2832.3/700 = 4.046 hrs by plane<BR>\n" );
document.write( "47.7/50 = .954 hrs by bus<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "total time: 5hr<BR>\n" );
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