document.write( "Question 983799: A plane can fly 300 miles with the wind in the same amount of time as it can travel 210 miles against the wind. Find the velocity of the wind if plane can fly 255MPH in still air. \n" ); document.write( "

Algebra.Com's Answer #604609 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
w, speed of wind
\n" ); document.write( "r, craft speed without any wind
\n" ); document.write( "u, distance traveled against the wind (u for UPWIND)
\n" ); document.write( "v, distance traveled with the wind
\n" ); document.write( "t, time of travel being same for both u and v
\n" ); document.write( "UNKNOWN VARIABLES are t and w.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Basic uniform rate rule for travel is RT=D to relate speed, time, and distance\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "                 speed          time          distance\r\n" );
document.write( "WITHWIND         r+w             t             v\r\n" );
document.write( "AGAINSTWND       r-w             t             u\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "System of Equations Using the described and tabulated data:
\n" ); document.write( " $\"highlight_green%28system%28%28r%2Bw%29t=v%2C%28r-w%29t=u%29%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve the system as a formula for w in all known or given variables only.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Evaluate w using the given values.
\n" ); document.write( " $\"system%28r=255%2Cu=210%2Cv=300%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );