document.write( "Question 856778: A Plane takes 6 hours to fly from Vancouver to Toronto and 5 hours to return back. The airspeed is 550km/hr, from Vancouver to Toronto. The reason why it takes the airplane longer to go west to east is because of a wind, with constant wind speed. What is the speed of the wind?
\n" ); document.write( " Any help would be greatly appreciated,as i have no idea how to work this out. All i know is the answer is 50km/hr. Thankyou. \n" ); document.write( "

Algebra.Com's Answer #516135 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
A Plane takes 6 hours to fly from Vancouver to Toronto and 5 hours to return back. The airspeed is 550km/hr, from Vancouver to Toronto. The reason why it takes the airplane longer to go west to east is because of a wind, with constant wind speed. 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( "travel time=distance/speed
\n" ); document.write( "..
\n" ); document.write( "distance=6*550=3300 km
\n" ); document.write( "..
\n" ); document.write( "6=3300/(x-c)
\n" ); document.write( "5=3300/(x+c)
\n" ); document.write( "..
\n" ); document.write( "6x-6c=3300
\n" ); document.write( "5x+5c=3300
\n" ); document.write( "..
\n" ); document.write( "30x-30c=16500
\n" ); document.write( "30x+30c=19800
\n" ); document.write( "subtract
\n" ); document.write( "60c=3300
\n" ); document.write( "c=55
\n" ); document.write( "speed of wind=55 km/hr
\n" ); document.write( " \n" ); document.write( "

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