document.write( "Question 1008877: A plane travels at a speed of
\n" ); document.write( "155 mph in still air. Flying with a tailwind, the plane is clocked over a distance of
\n" ); document.write( "650 miles. Flying against a headwind, it takes
\n" ); document.write( "2 hours longer to complete the return trip. What was the wind velocity?
\n" ); document.write( "(Round
\n" ); document.write( " your answer to the nearest tenth.) \n" ); document.write( "

Algebra.Com's Answer #624408 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
Initial table of data before analyzing the time quantities; w is tailwind speed.
\n" ); document.write( "

\r\n" );
document.write( "               SPEED        TIME         DISTANCE\r\n" );
document.write( "\r\n" );
document.write( "WITHWIND       155+w                     650\r\n" );
document.write( "AGAINSTWD      155-w                     650\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "               SPEED        TIME            DISTANCE\r\n" );
document.write( "\r\n" );
document.write( "WITHWIND       155+w        650/(155+w)      650\r\n" );
document.write( "AGAINSTWD      155-w        650/(155-w)      650\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Concentrate on the part of the description, Flying against a headwind, it takes
\n" ); document.write( "2 hours longer to complete the return trip.
\n" ); document.write( "This means $\"highlight%28highlight_green%28650%2F%28155-w%29-650%2F%28155%2Bw%29=2%29%29\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The rest is arithmetic to solve the equation for w, the speed of the wind. \n" ); document.write( "

\n" );