document.write( "Question 185692: Solving Problems Using Linear Systems
\n" ); document.write( "8. With a tailwind, a plane flew the 3000 km from Calgary to Montreal in 5 h. The return flight, against the wind, took 6 h. Find the wind speed and the speed of the plane.
\n" ); document.write( "(The answer is: wind speed 50 km/h, speed of plane 550 km/h, but i dont know how to solve this question?) Thankssss!!! \n" ); document.write( "
Algebra.Com's Answer #139411 by ankor@dixie-net.com(22740)\"\" \"About 
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8. With a tailwind, a plane flew the 3000 km from Calgary to Montreal in 5 h.
\n" ); document.write( "0n The return flight, against the wind, took 6 h.
\n" ); document.write( " Find the wind speed and the speed of the plane.
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\n" ); document.write( "Let x = speed of the plane in still air
\n" ); document.write( "Let y = speed of the wind
\n" ); document.write( ":
\n" ); document.write( "(x+y) = speed with the wind
\n" ); document.write( "(x-y) = speed against the wind
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation for each trip: Dist = time * speed
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\n" ); document.write( "5(x+y) = 3000
\n" ); document.write( "6(x-y) = 3000
\n" ); document.write( ":
\n" ); document.write( "Simplify, divide equation by 5 and divide equation 2 by 6, results:
\n" ); document.write( "x + y = 600
\n" ); document.write( "x - y = 500
\n" ); document.write( "--------------adding eliminates y, find x
\n" ); document.write( "2x = 1100
\n" ); document.write( "x = \"1100%2F2\"
\n" ); document.write( "x = 550 km/hr is the speed of the plane in still air
\n" ); document.write( "then
\n" ); document.write( "550 + y = 600
\n" ); document.write( "y = 600 - 550
\n" ); document.write( "y = 50 km/hr is the speed of the wind
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "You can check the solutions in the 1st or 2nd original equation \n" ); document.write( "
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