document.write( "Question 949373: A PLANE FLIES FROM LOS ANGELES TO LAS VEGAS. THE TRIP IS 300 MILES. THE PLANE HAS 50 MPH TAILWIND (WITH THE PLANE). THE PLANE IMMEDIATELY FLIES BACK TO LOS ANGELES AND EXPERIENCES A 100 MPH HEADWIND (INTO THE PLANE). IF THE ROUND TRIP TAKE 16 HOURS. HOW FAST WOULD THE PLANE FLY IN STILL AIR? \n" ); document.write( "
Algebra.Com's Answer #579598 by lwsshak3(11628)\"\" \"About 
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A PLANE FLIES FROM LOS ANGELES TO LAS VEGAS. THE TRIP IS 300 MILES. THE PLANE HAS 50 MPH TAILWIND (WITH THE PLANE). THE PLANE IMMEDIATELY FLIES BACK TO LOS ANGELES AND EXPERIENCES A 100 MPH HEADWIND (INTO THE PLANE). IF THE ROUND TRIP TAKE 16 HOURS. HOW FAST WOULD THE PLANE FLY IN STILL AIR?
\n" ); document.write( "***
\n" ); document.write( "let x=speed of plane in still air
\n" ); document.write( "(x+50)=speed of plane with tailwind
\n" ); document.write( "(x-100)=speed of plane with headwind
\n" ); document.write( "travel time=distance/speed
\n" ); document.write( "..
\n" ); document.write( "\"300%2F%28x%2B50%29%2B300%2F%28x-100%29=16\"
\n" ); document.write( "lcd:(x+50)(x-100)
\n" ); document.write( "300(x-100)+300(x+50)=16(x+50)(x-100)
\n" ); document.write( "300x-30000+300x+15000=16(x^2-50x-5000)
\n" ); document.write( "600x-15000=16x^2-800x-80000
\n" ); document.write( "16x^2-1400x-65000
\n" ); document.write( "solve for x by quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=16, b=-1400, c=-65000
\n" ); document.write( "x≈121
\n" ); document.write( "HOW FAST WOULD THE PLANE FLY IN STILL AIR? 121 mph
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