document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203688>Question 1203688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At noon, a cargo plane leaves Angama airport and heads towards Bamburi 500 km away at 180 km/h. At 1.00 pm, a jet takes off from Angama and flies on the same course at 450 km/h. What time will the jet overtake the cargo plane? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839457 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=839457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = number of hours since 12:00 pm noon\r<BR>\n" );
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document.write( "Cargo Plane<BR>\n" );
document.write( "distance = rate*time<BR>\n" );
document.write( "d = r*t<BR>\n" );
document.write( "d = 180x\r<BR>\n" );
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document.write( "Jet Aircraft<BR>\n" );
document.write( "d = r*t<BR>\n" );
document.write( "d = 450(x-1)<BR>\n" );
document.write( "The x-1 refers to the fact the jet is in the air 1 hour less compared to the cargo plane. \r<BR>\n" );
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document.write( "The jet will pass the cargo plane when the two distances are equal.<BR>\n" );
document.write( "450(x-1) = 180x<BR>\n" );
document.write( "450x-450 = 180x<BR>\n" );
document.write( "450x-180x = 450<BR>\n" );
document.write( "270x = 450<BR>\n" );
document.write( "x = 450/270<BR>\n" );
document.write( "x = (5*90)/(3*90)<BR>\n" );
document.write( "x = 5/3<BR>\n" );
document.write( "x = (1+2)/3<BR>\n" );
document.write( "x = (1/3) + (2/3)<BR>\n" );
document.write( "x = 1 + (2/3)<BR>\n" );
document.write( "x = 1 & 2/3\r<BR>\n" );
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document.write( "1 & 2/3 hr = 1 hr + (2/3) hr<BR>\n" );
document.write( "1 & 2/3 hr = 1 hr + (2/3)*60 min<BR>\n" );
document.write( "1 & 2/3 hr = 1 hr + 40 min\r<BR>\n" );
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document.write( "The jet will overtake the cargo plane 1 hour and 40 minutes after the cargo plane takes off.\r<BR>\n" );
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document.write( "Add this duration to 12:00 pm noon to get<BR>\n" );
document.write( "12:00 + 1:40 = <font color=red size=4>1:40 pm</font> which is the final answer.<BR>\n" );
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document.write( " </SPAN>\n" );
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