SOLUTION: The airline distance from Manchester, NH to Orange County, California is 3122 miles. Schedule time westbound (against prevailing wind) is 5 hours 12 minutes (5.2 hours). Eastbound

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Question 60619: The airline distance from Manchester, NH to Orange County, California is 3122 miles. Schedule time westbound (against prevailing wind) is 5 hours 12 minutes (5.2 hours). Eastbound (with tailwind) the schedule time is 3 hours and 54 minutes (3.9 hours). What is the speed of the aircraft when there is no wind, and what is the speed of the prevailing wind? (round your anwser to whole miles per hour)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
-w+%2B+a+=+3122%2F5.2
%2Bw+%2B+a+=+3122%2F3.9
add these
2a+=+31220%2A%281%2F52+%2B+1%2F39%29
2a+=+31220%2A%28%284%2B3%29+%2F+%2813%2A12%29%29
a+=+31220%2A7+%2F+%2813%2A12%2A2%29
a+=+700.45
speed of aircraft with no wind is 700 mph
%2Bw+%2B+a+=+3122%2F3.9
%2Bw+%2B+700.45+=+3122%2F3.9
w+=+800.51+-+700.45
w+=+100.07
wind speed is 100 mph