document.write( "Question 752307: A Boeing 747 flies the 3000-mile distance between Los Angeles & New York with a
\n" ); document.write( "tailwind in 5 hours. The return trip against a headwind takes 6 hours. Assuming that the
\n" ); document.write( "plane speed and wind speed are constant, find the speed of the plane and the speed of the
\n" ); document.write( "wind.
\n" ); document.write( "

Algebra.Com's Answer #457659 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+w+\" = the wind speed in mi/hr
\n" ); document.write( "Let \"+p+\" = the speed of the plane in mi/hr
\n" ); document.write( "\"+p+%2B+w+\" = speed of the plane flying with the wind
\n" ); document.write( "\"+p+-+w+\" = speed of the plane flying against the wind
\n" ); document.write( "----------------------
\n" ); document.write( "Flying with the wind:
\n" ); document.write( "(1) \"+3000+=+%28+p+%2B+w+%29%2A5+\"
\n" ); document.write( "Flying against the wind:
\n" ); document.write( "(2) \"+3000+=+%28+p+-+w+%29%2A6+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Add the equations
\n" ); document.write( "(1) \"+p+%2B+w+=+600+\"
\n" ); document.write( "(2) \"+p+-+w+=+500+\"
\n" ); document.write( "\"+2p+=+1100+\"
\n" ); document.write( "\"+p+=+550+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+p+%2B+w+=+600+\"
\n" ); document.write( "(1) \"+550+%2B+w+=+600+\"
\n" ); document.write( "(1) \"+w+=+50+\"
\n" ); document.write( "The speed of the plane is 550 mi/hr
\n" ); document.write( "The speed of the wind is 50 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+3000+=+%28+550+%2B+50+%29%2A5+\"
\n" ); document.write( "(1) \"+3000+=+600%2A5+\"
\n" ); document.write( "(1) \"+3000+=+3000+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+3000+=+%28+550+-+50+%29%2A6+\"
\n" ); document.write( "(2) \"+3000+=+500%2A6+\"
\n" ); document.write( "(2) \"+3000+=+3000+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );