document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=987367>Question 987367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 1:  A Concord Jet travels 80 km/h faster than a Delta jet liner.  The Concord takes one hour less than the Delta Jet to travel a journey of 6280 km.\r<BR>\n" );
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document.write( "Denoting the speed of the Delta Jet Liner by x km/h:\r<BR>\n" );
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document.write( "(a)  Write down in terms of x expressions for the time taken by:\r<BR>\n" );
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document.write( "       (i)  The Delta Jet Liner<BR>\n" );
document.write( "       (ii)  The Concord Liner\r<BR>\n" );
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document.write( "(b)  Form an equation to connect these times and show that it simplifies to x2 + 80x - 502400 = 0\r<BR>\n" );
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document.write( "(c)  Hence find the speed of both aircrafts to the nearest km/h\r<BR>\n" );
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document.write( "Question 2:  The ratio of the prices of two different sheets of glass is 2:5.  The total bill for 20 sheets of the cheaper glass and 10 sheets of the more expensive one is $1080.  If d dollars represent the cost of one sheet of the cheaper glass, determine\r<BR>\n" );
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document.write( "(i)   An expression in d for the cost of ONE sheet of the more expensive glass<BR>\n" );
document.write( "(ii)  The value of d<BR>\n" );
document.write( "(iii)  The cost of ONE sheet of the more expensive glass\r<BR>\n" );
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document.write( "Question 3:  Two rectangular plots are equal in area.  The length of the first plot is one and a half times its width.  The length of the second plot is 7 m less than three times its width.\r<BR>\n" );
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document.write( "(a) Denoting the width of the first plot by x m and the width of the second plot by y m, derive a relation between x and y.\r<BR>\n" );
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document.write( "(b) If y = x + 1, calculate the values of x and y.\r<BR>\n" );
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document.write( "Many thanks...these 3 problems really baffle me.<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 #608102 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=608102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Exactly what part of \"One problem per post\" is too difficult for you to comprehend?\r<BR>\n" );
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document.write( "3(a).  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represents the width of the first rectangle, so the length of the first rectangle is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 1.5x\"> and therefore the area of the first rectangle is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 1.5x^2\">.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\"> represents the width of the second rectangle, so the length of the second rectangle is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3y\ -\ 7\"> and the area of the second rectangle is then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3y^2\ -\ 7y\">.  Since the two areas are equal:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 1.5x^2\ =\ 3y^2\ -\ 7y\"> \r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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