document.write( "Question 956727: Please help me with this math problem solving: Thank you, really appreciate it. Sorry guys, the first problem was incorrect, I missed another variables in it. But this is the question:\r
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\n" ); document.write( "\n" ); document.write( "Dave and Sandy Hartranft are frequent flyers with Delta Airlines. They often fly from Philadelphia to Chicago, a distance of 780 miles. On one particular trip, they fly into the wind, and the flight takes 2 hours. The return trip, with the wind behind them, only takes 1 and 1/2 hours. If the wind speed is the same on each trip, find the speed of the wind and find the speed of the plane in still air.\r
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Algebra.Com's Answer #584515 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Back at you -looks OK now
\n" ); document.write( "Let \"+w+\" = the windspeed in mi/hr
\n" ); document.write( "Let \"+s+\" = the speed of the plane in still air in mi/hr
\n" ); document.write( "\"+s+-+w+\" = the speed of the plane flying into the wind in mi/hr
\n" ); document.write( "\"+s+%2B+w+\" = the speed of the plane flying with the wind in mi/hr
\n" ); document.write( "--------------------------
\n" ); document.write( "Flying into the wind:
\n" ); document.write( "(1) \"+780+=+%28+s+-+w+%29%2A2+\"
\n" ); document.write( "Flying with the wind:
\n" ); document.write( "(2) \"+780+=+%28+s+%2B+w+%29%2A%283%2F2%29+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) \"+780+=+2s+-+2w+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+1560+=+3s+%2B+3w+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Multiply both sides of ( 1 ) by \"+3%2F2+\"
\n" ); document.write( "and add the equations
\n" ); document.write( "(1) \"+1170+=+3s+-+3w+\"
\n" ); document.write( "(2) \"+1560+=+3s+%2B+3w+\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+2730+=+6s+\"
\n" ); document.write( "\"+s+=+455+\"
\n" ); document.write( "--------------
\n" ); document.write( "(1) \"+780+=+2%2A455+-+2w+\"
\n" ); document.write( "(1) \"+2w+=+910+-+780+\"
\n" ); document.write( "(1) \"+2w+=+130+\"
\n" ); document.write( "(1) \"+w+=+65+\"
\n" ); document.write( "----------------
\n" ); document.write( "The windspeed is 65 mi/hr
\n" ); document.write( "The speed of the plane in still air is 455 mi/hr
\n" ); document.write( "------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+780+=+%28+s+%2B+w+%29%2A%283%2F2%29+\"
\n" ); document.write( "(2) \"+780+=+%28+455+%2B+65+%29%2A%283%2F2%29+\"
\n" ); document.write( "(2) \"+780+=+520%2A%283%2F2%29+\"
\n" ); document.write( "(2) \"+1560+=+1560+\"
\n" ); document.write( "OK
\n" ); document.write( "(1) \"+780+=+%28+s+-+w+%29%2A2+\"
\n" ); document.write( "(1) \"+780+=+%28+455+-+65+%29%2A2+\"
\n" ); document.write( "(1) \"+780+=+390%2A2+\"
\n" ); document.write( "(1) \"+780+=+780+\"
\n" ); document.write( "OK\r
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