document.write( "Question 1142254: A pilot flies 1050 mi with a tailwind of 20mph. Against the wind, he flies only 850 mi in the same amount of time. What is the speed of the plane in still air? \n" ); document.write( "
Algebra.Com's Answer #762983 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Time is distance divided by rate.

\n" ); document.write( "Since the times with and against the wind are the same, time is also the DIFFERENCE in distances divided by the DIFFERENCE in rates.

\n" ); document.write( "The difference in the two rates is twice the wind speed (because the wind speed adds to the speed in one direction and subtracts from it in the other direction).

\n" ); document.write( "So the difference in rates is 40mph; the difference in distances is 200 miles. So the time for each flight is 200/40 = 5 hours.

\n" ); document.write( "So the speed of the plane with the wind is 1050/5 = 210mph; that makes the speed of the plane in still air 210-20 = 190mph.
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