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(Solved): Two airplanes fly between the same two cities. The destination city is due north of the origin, and ...



Two airplanes fly between the same two cities. The destination city is due north of the origin, and both planes experience the same west-to-east crosswind but travel at different air speeds. The slower plane takes 2 times as much time to complete the journey as the faster plane and follows a heading that is 45º west of north. (Do not worry about the curvature of the Earth)

Find the heading of the faster plane.

If the slower plane has an airspeed of 200 mph, find the airspeed of the faster plane.


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Given, Let v?0 be velocity of air and since its direction is west to east , v?0=v0i^ Let v?1be velocity of slower plane Since slow
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