document.write( "Question 1094426: An airplane encountered a head wind during a flight between Joppetown and Jawsburgh which took 4 hours and 36 minutes. The return flight took 4 hours. If the distance from Joppetown to Jawsburgh is 1400 ​miles, find the airspeed of the plane​ (the speed of the plane in still​ air) and the speed of the​ wind, assuming both remain constant. \n" ); document.write( "
Algebra.Com's Answer #708977 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = the speed of the plane in still air
\n" ); document.write( "Let \"+w+\" = the wind speed
\n" ); document.write( "\"+36%2F60+=+.6+\" ( minutes to hrs )
\n" ); document.write( "----------------------------------
\n" ); document.write( "Flying against the wind:
\n" ); document.write( "(1) \"+1400+=+%28+s+-+w+%29%2A4.6+\"
\n" ); document.write( "Flying with the wind:
\n" ); document.write( "(2) \"+1400+=+%28+s+%2B+w+%29%2A4+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) \"+1400+=+4s+%2B+4w+\"
\n" ); document.write( "(2) \"+4s+=+1400+-+4w+\"
\n" ); document.write( "(2) \"+s+=+350+-+w+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "Plug (2) into (1)
\n" ); document.write( "(1) \"+1400+=+%28+350+-+w+-+w+%29%2A4.6+\"
\n" ); document.write( "(1) \"+1400+=+%28+350+-+2w+%29%2A4.6+\"
\n" ); document.write( "(1) \"+1400+=+1610+-+9.2w+\"
\n" ); document.write( "(1) \"+9.2w+=+1610+-+1400+\"
\n" ); document.write( "(1) \"+9.2w+=+210+\"
\n" ); document.write( "(1) \"+w+=+22.826+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+s+=+350+-+22.826+\"
\n" ); document.write( "(2) \"+s+=+327.174+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "The speed of the plane in still air is 327.174 mi/hr
\n" ); document.write( "The wind speed is 22.826 mi/hr
\n" ); document.write( "-------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+1400+=+%28+s-w+%29%2A4.6+\"
\n" ); document.write( "(1) \"+1400+=+%28+327.174+-+22.826+%29%2A4.6+\"
\n" ); document.write( "(1) \"+1400+=+304.348%2A4.6+\"
\n" ); document.write( "(1) \"+1400+=+1400.0008+\"
\n" ); document.write( "close enough
\n" ); document.write( "(2) \"+1400+=+%28+s%2Bw+%29%2A4+\"
\n" ); document.write( "(2) \"+1400+=+%28+327.174+%2B+22.826+%29%2A4+\"
\n" ); document.write( "(2) \"+1400+=+350%2A4+\"
\n" ); document.write( "(2) \"+1400+=+1400+\"
\n" ); document.write( "OK
\n" ); document.write( "Get a 2nd opinion if needed\r
\n" ); document.write( "\n" ); document.write( "
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