document.write( "Question 1125875: Roy flies a plane against a headwind for 4977 miles. The return trip with the wind took 16 hours less time. If the wind speed is 8 mph, how fast does Roy fly the plane when there is no wind? \n" ); document.write( "
Algebra.Com's Answer #742200 by Boreal(15235)\"\" \"About 
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time it took to go was t
\n" ); document.write( "return trip was t-16
\n" ); document.write( "distance=speed*time
\n" ); document.write( "two different times, same distance, speed is s-w against the wind, s+w with it.
\n" ); document.write( "so
\n" ); document.write( "4977=(s-w)*t; 4977=t(s-8)
\n" ); document.write( "4977=(s+w)*(t-16); 4977=(s+8)*(t-16)\r
\n" ); document.write( "\n" ); document.write( "t=4977/(s-8)
\n" ); document.write( "t-16=4977/(s+8); t=[4977+16(s+8)]/(s+8), adding 16 to both sides and putting it over a common denominator\r
\n" ); document.write( "\n" ); document.write( "4977/(s-8)=[4977+16(s+8)]/(s+8)
\n" ); document.write( "cross-multiply
\n" ); document.write( "4977(s+8)=4977(s-8)+16(s^2-64)
\n" ); document.write( "4977s+39816=4977s-39816+16s^2-1024
\n" ); document.write( "79632=16s^2-1024
\n" ); document.write( "80656=16s^2
\n" ); document.write( "s=71 mph ANSWER\r
\n" ); document.write( "\n" ); document.write( "63 mph against a headwind and takes 79 hours
\n" ); document.write( "79 mph with the wind and takes 63 hours, 16 fewer.\r
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