How long would it take ?

Level pending

Assume that Earth is sphere-shaped.It's radius is \(6400\) km.A high-tech supersonic plane travels at \(2000\) km per hour and it's location at a certain moment is at some random place in Earth.If the time for our object to make a full rotation around earth and reach at the same place is \(x\pi\)hours then what is \(x-0.4\)?

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