document.write( "Question 587417: Eddie is flying a jet against the wind on a 330 mile trip. Flying with the same wind speed, Eddie could fly a 550 mile trip in the same amount of time. If Eddie's jet flies 220 miles per hour in still air, what is the speed of the wind? Solve problem algebraically please... \n" ); document.write( "

Algebra.Com's Answer #374154 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Eddie is flying a jet against the wind on a 330 mile trip.
\n" ); document.write( " Flying with the same wind speed, Eddie could fly a 550 mile trip in the same amount of time.
\n" ); document.write( " If Eddie's jet flies 220 miles per hour in still air, what is the speed of the wind?
\n" ); document.write( ":
\n" ); document.write( "Let w = speed of the wind
\n" ); document.write( "then
\n" ); document.write( "(220+w) = effective speed with the wind
\n" ); document.write( "and
\n" ); document.write( "(220-w) = effective speed against the wind
\n" ); document.write( ":
\n" ); document.write( "Write a time equation: time = dist/speed
\n" ); document.write( ":
\n" ); document.write( " $\"330%2F%28%28220-w%29%29\"$ = $\"550%2F%28%28220%2Bw%29%29\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( "330(220+w) = 550(220-w)
\n" ); document.write( "72600 + 330w = 121000 - 550w
\n" ); document.write( "330w + 550w = 121000 - 72600
\n" ); document.write( "880w = 48400
\n" ); document.write( "w = $\"48400%2F880\"$
\n" ); document.write( "w = 55 mph is the wind
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check this by finding the times, they should be equal
\n" ); document.write( "550/275 = 2 hrs
\n" ); document.write( "330/165 = 2 hrs \n" ); document.write( "

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