document.write( "Question 534087: The jet stream is a strong wind current that flows across the United States. Flying with the jet stream, a plane flew 1872 miles in 3 hours. Against the same wind, the trip took 4 hours. Find the speed of the plane in still air and the speed of the wind current. \n" ); document.write( "
Algebra.Com's Answer #351309 by lwsshak3(11628)\"\" \"About 
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The jet stream is a strong wind current that flows across the United States. Flying with the jet stream, a plane flew 1872 miles in 3 hours. Against the same wind, the trip took 4 hours. Find the speed of the plane in still air and the speed of the wind current
\n" ); document.write( "**
\n" ); document.write( "let x=speed of plane in still air
\n" ); document.write( "let c=speed of wind current
\n" ); document.write( "Travel time=distance/speed
\n" ); document.write( "Speed of plane with the wind=x+c
\n" ); document.write( "Speed of plane against the wind=x-c
\n" ); document.write( "..
\n" ); document.write( "1872/(x+c)=3
\n" ); document.write( "1872/(x-c)=4
\n" ); document.write( "..
\n" ); document.write( "1872=3x+3c
\n" ); document.write( "1872=4x-4c
\n" ); document.write( "..
\n" ); document.write( "7488=12x+12c (multiply by 4)
\n" ); document.write( "5616=12x-12c (multiply by 3)
\n" ); document.write( "add
\n" ); document.write( "13104=24x
\n" ); document.write( "x=546 mph
\n" ); document.write( "..
\n" ); document.write( "subtract
\n" ); document.write( "1872=24c
\n" ); document.write( "c=78 mph
\n" ); document.write( "ans:
\n" ); document.write( "speed of plane in still air=546 mph
\n" ); document.write( "speed of wind current=78 mph \n" ); document.write( "
\n" );