document.write( "Question 1025505: A plane flies 500 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 30 mph, what is the speed of the plane in still air? \n" ); document.write( "
Algebra.Com's Answer #640809 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = speed of the plane in still air in mi/hr
\n" ); document.write( "\"+s+%2B+30+\" = the speed of the plane going with the wind
\n" ); document.write( "\"+s+-+30+\" = the speed of the wind going against the wind
\n" ); document.write( "Let \"+t+\" = time in hrs for both trips
\n" ); document.write( "----------------------------------
\n" ); document.write( "Equation for going against the wind
\n" ); document.write( "(1) \"+350+=+%28+s+-+30+%29%2At+\"
\n" ); document.write( "Equation for going with the wind:
\n" ); document.write( "(2) \"+500+=+%28+s+%2B+30+%29%2At+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) \"+t+=+350+%2F+%28+s+-+30+%29+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+500+=+%28+s+%2B+30+%29%2A%28+350+%2F+%28+s+-+30+%29+%29+\"
\n" ); document.write( "(2) \"+500%2A%28+s+-+30+%29+=+350%2A%28+s+%2B+30+%29+\"
\n" ); document.write( "(2) \"+500s+-+15000+=+350s+%2B+10500+\"
\n" ); document.write( "(2) \"+150s+=+25500+\"
\n" ); document.write( "(2) \"+s+=+170+\"
\n" ); document.write( "The speed of the plane in still air is 170 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+350+=+%28+s+-+30+%29%2At+\"
\n" ); document.write( "(1) \"+350+=+%28+170+-+30+%29%2At+\"
\n" ); document.write( "(1) \"+350+=+140t+\"
\n" ); document.write( "(1) \"+t+=+2.5+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+500+=+%28+s+%2B+30+%29%2At+\"
\n" ); document.write( "(2) \"+500+=+%28+170+%2B+30+%29%2At+\"
\n" ); document.write( "(2) \"+500+=+200t+\"
\n" ); document.write( "(2) \"+t+=+2.5+\"
\n" ); document.write( "OK
\n" ); document.write( "
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