Catch the Thief!

Two ships \(A\) and \(B\) are originally at a distance \(d\) from each other depart at the same time from a straight coastline. Ship \(A\) moves along a straight line perpendicular to the shore while ship \(B\) constantly heads for ship \(A\), having at the each moment same as the latter. After a sufficiently great interval of time the second ship will be following the first one at a certain distance \(x\). Find \(x\) in the image above.

Details and Assumptions

  • \(d= 26\) m

  • In final position they are in same straight line perpendicular to coastline ( track of \(A\) )

  • Their speeds are the same.


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