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A pilot heads his jet due east. The jet has a speed of 680 km/h relative to the air.
The wind is blowing due north with a speed of 64 km/h
Find the true speed and direction of the jet
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Calculations in the post by @mananth are erroneous.
I came to bring a correct solution.
In this problem, 680 km/h is the rate of the jet relative to the air.
It is directed to East. 64 km/h is the rate of the wind, it is directed North.
The combined groundspeed of the plane (the speed relative to the ground) is
=
= 683.005 km/h
Solved correctly.