document.write( "Question 535026: A plane traveled 624 miles to Perth and back. The trip there was with the wind. It took four hours. The trip back was into the wind. The trip back took 6 hours. What is the speed of the plane in still air? What is the speed of the wind? \r
\n" ); document.write( "\n" ); document.write( "I really need help on this one and would be so greatful to anyone that would show me the answer.
\n" ); document.write( "

Algebra.Com's Answer #351750 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
plane speed =x mph
\n" ); document.write( "wind speed speed =y mph
\n" ); document.write( "against current x-y 6.00 hours
\n" ); document.write( "With current x+y 4.00 hours
\n" ); document.write( "
\n" ); document.write( "Distance = same= 624 miles
\n" ); document.write( "t=d/r
\n" ); document.write( "624 / ( x - y )= 6.00
\n" ); document.write( "6 ( x - y ) = 624.00
\n" ); document.write( "6 x -6 y = 624 ....................1
\n" ); document.write( "624 / ( x + y )= 4.00
\n" ); document.write( "4.00 ( x + y ) = 624
\n" ); document.write( "4.00 x + 4.00 y = 624 ...............2
\n" ); document.write( "Multiply (1) by 2.00
\n" ); document.write( "Multiply (2) by 3.00
\n" ); document.write( "we get
\n" ); document.write( "12 x + -12 y = 1248
\n" ); document.write( "12 x + 12 y = 1872
\n" ); document.write( "24 x = 3120
\n" ); document.write( "/ 24
\n" ); document.write( "x = 130 mph
\n" ); document.write( "
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "6 x -6 y = 624
\n" ); document.write( "780 -6 y = 624
\n" ); document.write( "-6 y = 624 -780
\n" ); document.write( "-6 y = -156
\n" ); document.write( " y = 26 mph
\n" ); document.write( " plane 130 mph
\n" ); document.write( " wind speed 26 mph
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( "
\n" );