document.write( "Question 808988: A certain aircraft can fly 612 miles with the wind in 3 hours and travel the same distance against the wind in 6 hours. What is the speed of the wind? \n" ); document.write( "

Algebra.Com's Answer #487346 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
A certain aircraft can fly 612 miles with the wind in 3 hours and travel the same distance against the wind in 6 hours. What is the speed of the wind?
\n" ); document.write( "***
\n" ); document.write( "let x=speed of plane in still air
\n" ); document.write( "let c=speed of wind
\n" ); document.write( "(x+c)speed of plane with the wind
\n" ); document.write( "(x-c)speed of plane against the wind
\n" ); document.write( "distance/speed=travel time
\n" ); document.write( "..
\n" ); document.write( " $\"612%2F%28x%2Bc%29=3\"$
\n" ); document.write( " $\"612%2F%28x-c%29=6\"$
\n" ); document.write( "..
\n" ); document.write( "3x+3c=612
\n" ); document.write( "6x-6c=612
\n" ); document.write( "..
\n" ); document.write( "6x+6c=1224
\n" ); document.write( "6x-6c=612
\n" ); document.write( "subtract
\n" ); document.write( "12c=612
\n" ); document.write( "c=51
\n" ); document.write( "speed of wind=51 mph \n" ); document.write( "

\n" );