document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6491>Question 6491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> While traveling with the wind a plane flies 300 miles in 40 minutes. It returns against the wind in 45 minutes. Find the air speed of the plane and the rate of the wind. Use a system of equations to solve the problem </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3510 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas123><B>srinivas123(23)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas123><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=3510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> While traveling with the wind a plane flies 300 miles in 40 minutes. It returns against the wind in 45 minutes. Find the air speed of the plane and the rate of the wind. Use a system of equations to solve the problem\r<BR>\n" );
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document.write( "Let the speed of plane be X<BR>\n" );
document.write( "Let the speed of air be Y\r<BR>\n" );
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document.write( "Total distance covered = 300miles .\r<BR>\n" );
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document.write( "while going along the wind the speeds add.<BR>\n" );
document.write( "Total speed of plane is X+Y<BR>\n" );
document.write( "Time taken = 40 mins or 2/3 hour.<BR>\n" );
document.write( "time = distance/speed.\r<BR>\n" );
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document.write( "so 2/3 = 300 /(x+y)\r<BR>\n" );
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document.write( "----> 2(X+Y)=3*300<BR>\n" );
document.write( "----> 2(X+Y)=900<BR>\n" );
document.write( "----> X+Y = 450    equation (1).\r<BR>\n" );
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document.write( "While going against the wind the speeds are subtracted since wind is opposing you.\r<BR>\n" );
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document.write( "Time taken to return = 45mins ---->3/4 hour.\r<BR>\n" );
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document.write( "Distance = 300 miles .\r<BR>\n" );
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document.write( "Time = distance/speed.\r<BR>\n" );
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document.write( "So,\r<BR>\n" );
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document.write( "3/4 = 300/(X-Y)<BR>\n" );
document.write( "----> 3(X-Y)=4*300<BR>\n" );
document.write( "----> X-Y = 1200/3 ----> X-Y = 400   equation (2).\r<BR>\n" );
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document.write( "adding equation (1) and (2) we get<BR>\n" );
document.write( "    X+Y=450<BR>\n" );
document.write( "(+) X-Y=400\r<BR>\n" );
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document.write( "2X=850 ----> X=425 miles / hour.<BR>\n" );
document.write( "Substituting this value in Equation (1) we get Y=25 miles/hour .\r<BR>\n" );
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document.write( "Hence speed of plane is 425 miles/hour and speed of air is 25 miles/hour </SPAN>\n" );
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