document.write( "Question 1005842: It took an airplane 2 hours to fly 600 miles against a headwind. The return trip with the wind took 1 2/3 hours. Find the speed of the plane with no wind and the windspeed. (Assume that both speeds remain constant.)\r
\n" ); document.write( "\n" ); document.write( "The speed of the plane is ____ MPH
\n" ); document.write( "The Windspeed is ____ MPH \n" ); document.write( "

Algebra.Com's Answer #621988 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "It took an airplane 2 hours to fly 600 miles against a headwind. The return trip with the wind took 1 2/3 hours. Find the speed of the plane with no wind and the windspeed. (Assume that both speeds remain constant.)\r
\n" ); document.write( "\n" ); document.write( "The speed of the plane is ____ MPH
\n" ); document.write( "The Windspeed is ____ MPH
\n" ); document.write( "

Let speed of plane in still air, and speed of wind speed, be S and W, respectively
\n" );
document.write( "Then total speed when going against the wind = S - W
\n" );
document.write( "Also, total speed when going with the wind = S + W
\n" );
document.write( "Therefore, we can say that: , or S – W = 300 ---- eq (i)
\n" );
document.write( "And, , or , or S + W = 360 ---------- eq (ii)
\n" );
document.write( "2S = 660 ------- Adding eqs (i) & (ii)
\n" );
document.write( "S, or speed in still air = , or  mph
\n" );
document.write( "330 – W = 300 -------- Substituting 330 for S in eq (i) 
\n" );
document.write( "- W = 300 – 330
\n" );
document.write( "- W = - 30
\n" );
document.write( "W, or wind speed = , or  mph \n" );
document.write( "

\n" );