document.write( "Question 1079094: An airplane traveling with wind flies 450 miles in 2 hours. On the return trip the plane takes 3 hours to travel the same distance. Find the speed of the airplane if the wind is still \n" ); document.write( "
Algebra.Com's Answer #693468 by josmiceli(19441)\"\" \"About 
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Let \"+w+\" = the speed of the wind in mi/hr
\n" ); document.write( "Let \"+s+\" = the speed of the plane in still air in mi/hr
\n" ); document.write( "-----------------------
\n" ); document.write( "Equation for flying with the wind
\n" ); document.write( "(1) \"+450+=+%28+s+%2B+w+%29%2A2+\"
\n" ); document.write( "Equation for flying against the wind
\n" ); document.write( "(2) \"+450+=+%28+s+-+w+%29%2A3+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) \"+2s+%2B+2w+=+450+\"
\n" ); document.write( "(2) \"+3s+-+3w+=+450+\"
\n" ); document.write( "------------------------
\n" ); document.write( "(1) \"+s+%2B+w+=+225+\"
\n" ); document.write( "(2) \"+s+-+w+=+150+\"
\n" ); document.write( "Add the equations
\n" ); document.write( "\"+2s+=+375+\"
\n" ); document.write( "\"+s+=+187.5+\"
\n" ); document.write( "The speed of the plane in still air is 187.5 mi
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+450+=+%28+s+%2B+w+%29%2A2+\"
\n" ); document.write( "(1) \"+450+=+%28+187.5+%2B+w+%29%2A2+\"
\n" ); document.write( "(1) \"+225+=+187.5+%2B+w+\"
\n" ); document.write( "(1) \"+w+=+37.5+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+450+=+%28+s+-+w+%29%2A3+\"
\n" ); document.write( "(2) \"+450+=+%28+187.5+-+w+%29%2A3+\"
\n" ); document.write( "(2) \"+450+=+562.5+-+3w+\"
\n" ); document.write( "(2) \"+3w+=+112.5+\"
\n" ); document.write( "(2) \"+w+=+37.5+\"
\n" ); document.write( "OK\r
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