document.write( "Question 30651: Snoopy flies his Sopwith Camel the 120 kilometers from London to Calais in 12 hours, flying into a headwind. The return trip, with the same wind as a tailwind, takes only 2 hours. How fast is Snoopy flying throught the air? How fast is the wind blowing?\r
\n" ); document.write( "\n" ); document.write( "I would really like to see the solution and answer to this problem! \n" ); document.write( "
Algebra.Com's Answer #17385 by Paul(988)\"\" \"About 
You can put this solution on YOUR website!
Let the speed of the Airplane be x
\n" ); document.write( "Let the speed of the wind be y
\n" ); document.write( "12(x-y)=120 (first equation)
\n" ); document.write( "2(x+y)=120 (second equation)
\n" ); document.write( "Solve for y in the 2nd equation:
\n" ); document.write( "2x+2y=120
\n" ); document.write( "2y=120-2x
\n" ); document.write( "y=60-x (subsitution)\r
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\n" ); document.write( "\n" ); document.write( "From first equation:
\n" ); document.write( "12x-12y=120
\n" ); document.write( "Subsitute for y:
\n" ); document.write( "12x-12(60-x)=120
\n" ); document.write( "12x-720+12x=120
\n" ); document.write( "24x=840
\n" ); document.write( "x=35
\n" ); document.write( "y=60-35
\n" ); document.write( "y=25\r
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\n" ); document.write( "\n" ); document.write( "Hence, he is flying at rate of 35mph with wind blowing at 25mph.
\n" ); document.write( "Paul.
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