document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=814866>Question 814866</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man travels 1700 miles on a jet plane and then travels another 300 miles on a propeller plane. The rate of the jet is three times that of the prop. Plane. The total trip took five hrs. What is the rate of the plane?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490571 by </B><A HREF=/tutors/aboutme.mpl?userid=dragonwalker><B>dragonwalker(73)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dragonwalker><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=490571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume it is asking for the rate of the jet plane and the prop plane.<BR>\n" );
document.write( "Let us call the speed of the prop plane x and so as the jet plane is travelling three times as fast its speed with b3 3 times x, otherwise written as 3x\r<BR>\n" );
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document.write( "So speed of prop plane = x<BR>\n" );
document.write( "Speed of jet plane = 3x\r<BR>\n" );
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document.write( "The time it takes for the plane to travel its distance = distance divided by speed.<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "Time for the jet plane journey = 1700/3x hours<BR>\n" );
document.write( "Time for the prop plane journey = 300/x hours\r<BR>\n" );
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document.write( "The total time for the journey is 5 hours, so you add the time for each leg of the journey which will equal 5 hours.\r<BR>\n" );
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document.write( "This is written as 1700/3x + 300/x = 5\r<BR>\n" );
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document.write( "Now solve for x:\r<BR>\n" );
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document.write( "Multiply each by 3:<BR>\n" );
document.write( "5100/3x + 900/x = 15<BR>\n" );
document.write( "Simplify:<BR>\n" );
document.write( "1700/x 900/x = 15\r<BR>\n" );
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document.write( "Multiply each by x:<BR>\n" );
document.write( "1700x/x + 900x/x = 15x\r<BR>\n" );
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document.write( "1700 + 900 = 15x (as the x's in each fraction cancel each other out)\r<BR>\n" );
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document.write( "2600 = 15x\r<BR>\n" );
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document.write( "divide each side by 15 to find x:\r<BR>\n" );
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document.write( "2600/15 = 15x/15\r<BR>\n" );
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document.write( "173 1/3 = x\r<BR>\n" );
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document.write( "so the speed of the the prop plane is 173 1/3 miles per hour<BR>\n" );
document.write( "and multiply this by 3 (as the speed of the jet plane is 3 times the speed of the prop plane) to find the speed of the jet plane = 520 miles per hour\r<BR>\n" );
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document.write( " </SPAN>\n" );
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