document.write( "Question 1041046: A jet plane flying with the wind went 2275 mi in 5 h. Flying against the wind, the plane could only fly 1750 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind. \n" ); document.write( "
Algebra.Com's Answer #655968 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = the speed of the plane in calm air
\n" ); document.write( "Let \"+w+\" = the speed of the wind
\n" ); document.write( "\"+t+=+5+\" hrs is the time for flying both with and
\n" ); document.write( "against the wind
\n" ); document.write( "-------------------------------
\n" ); document.write( "Equation for flying with the wind:
\n" ); document.write( "(1) \"+2275+=+%28+s+%2B+w+%29%2A5+\"
\n" ); document.write( "Equation for flying against the wind:
\n" ); document.write( "(2) \"+1750+=+%28+s+-+w+%29%2A5+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "Add the equations:
\n" ); document.write( "(1) \"+5s+%2B+5w+=+2275+\"
\n" ); document.write( "(2) \"+5s+-+5w+=+1750+\"
\n" ); document.write( "----------------------
\n" ); document.write( "\"+10s+=+4025+\"
\n" ); document.write( "\"+s+=+402.5+\" mi/hr
\n" ); document.write( "and
\n" ); document.write( "(1) \"+5s+%2B+5w+=+2275+\"
\n" ); document.write( "(1) \"+5%2A402.5+%2B+5w+=+2275+\"
\n" ); document.write( "(1) \"+2012.5+%2B+5w+=+2275+\"
\n" ); document.write( "(1) \"+5w+=+262.5+\"
\n" ); document.write( "(1) \"+w+=+52.5+\" mi/hr
\n" ); document.write( "---------------------------
\n" ); document.write( "Check my math. Plug answers back into both equations
\n" ); document.write( "to verify.
\n" ); document.write( "
\n" );