document.write( "Question 440233: An airplane flying headwind travels the 1800 mile flying distance between two cities in 3 hours and 36 minutes. One the return flight, the distance is traveled in 3 hours. Find the air speed of the plane and the speed of the wind, assuming that both remain constant. \n" ); document.write( "

Algebra.Com's Answer #304157 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
An airplane flying headwind travels the 1800 mile flying distance between two cities in 3 hours and 36 minutes. One the return flight, the distance is traveled in 3 hours. Find the air speed of the plane and the speed of the wind, assuming that both remain constant.
\n" ); document.write( "-------------------------
\n" ); document.write( "Against wind DATA:
\n" ); document.write( "distance = 1800 miles; time = (216/60) hrs ; rate = d/r = 500 mph
\n" ); document.write( "-----
\n" ); document.write( "With wind DATA:
\n" ); document.write( "distance = 1800 miles ; time = 3 hrs ; rate = d/r = 600 mph
\n" ); document.write( "---------------------
\n" ); document.write( "Equations:
\n" ); document.write( "p + w = 600
\n" ); document.write( "p - w = 500
\n" ); document.write( "---
\n" ); document.write( "2p = 1100
\n" ); document.write( "p = 550 (speed of the plane in still air
\n" ); document.write( "---
\n" ); document.write( "p + w = 600
\n" ); document.write( "w = 50 mph (speed of the wind current)
\n" ); document.write( "==========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );