document.write( "Question 1034476: Flying against the wind, an airplane travels 3950 km in 5 hours. Flying with the wind, the same plane travels 8750 km in 7 hours. What is the rate of the plane in still air and what is the rate of the wind? \n" ); document.write( "

Algebra.Com's Answer #649124 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "r       speed without wind\r\n" );
document.write( "w       speed of wind\r\n" );
document.write( "t[a]    time against wind\r\n" );
document.write( "t[b]    time with the wind\r\n" );
document.write( "d[a]    distance against wind\r\n" );
document.write( "d[b]    distance with the wind\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "UNKNOWN VARIABLES: r and w\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "                  SPEED          TIME         DISTANCE\r\n" );
document.write( "\r\n" );
document.write( "AGAINST           r-w                     \r\n" );
document.write( "\r\n" );
document.write( "WITHWIND          r+w                     \r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "SYSTEM OF EQUATIONS: $\"system%28%28r-w%29%2At%5Ba%5D=d%5Ba%5D%2C%28r%2Bw%29t%5Bb%5D=d%5Bb%5D%29\"$
\n" ); document.write( "Solve the system of equations for r and w. \n" ); document.write( "

\n" );