SOLUTION: As shown in the video, the flight from Seattle to New York, with a tailwind, takes 5 hrs 15 min, and the return flight take 6 hrs 35 minutes. Since the flight time includes time to

Algebra ->  Trigonometry-basics -> SOLUTION: As shown in the video, the flight from Seattle to New York, with a tailwind, takes 5 hrs 15 min, and the return flight take 6 hrs 35 minutes. Since the flight time includes time to      Log On


   



Question 1150597: As shown in the video, the flight from Seattle to New York, with a tailwind, takes 5 hrs 15 min, and the return flight take 6 hrs 35 minutes. Since the flight time includes time to taxi from and to the gate, we should subtract 45 minutes from each time to account for this. Not shown, I was able to find out the plane was scheduled to fly a 2468 mile flight path. Assuming the plane and wind speeds are constant during both flights, estimate the wind speed, to 1 decimal place.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of plane in mi/hr with no wind
Let +w+ = the wind speed in mi/hr
-----------------------------------------------
+5.25+-+.75+=+9%2F2+ hrs
+6+%2B+35%2F60+-+45%2F60+=+35%2F6+ hrs
Flying with the wind:
(1) +2468+=+%28+s+%2B+w+%29%2A%289%2F2%29+
Flying against the wind:
(2) +2468+=+%28+s+-+w+%29%2A%28+35%2F6+%29+
---------------------------------------
(1) +s+%2B+w+=+548.444+
(2) +s+-+w+=+423.086+
----------------------------------
+2s+=+971.53+
+s+=+485.765+
and
(1) +s+%2B+w+=+548.444+
(1) +485.765+%2B+w+=+548.444+
(1) +w+=+62.679+
----------------------------
The plane's speed with no wind is 485.765 mi/hr
The wind speed is 62.679 mi/hr
------------------------------------
check:
(1) +2468+=+%28+s+%2B+w+%29%2A%289%2F2%29+
(1) +2468+=+%28+485.765+%2B+62.679+%29%2A%289%2F2%29+
(1) +2468+=+548.444%2A4.5+
(1) +2468+=+2467.998+
and
(2) +2468+=+%28+s+-+w+%29%2A%28+35%2F6+%29+
(2) +2468+=+%28+485.765+-+62.679+%29%2A%28+35%2F6+%29+
(2) +2468+=+423.086%2A5.8333+
(2) +2468+=+2468.002+
Close enough
OK