Can you help him out?

From point AA located on a highway, one has to get by car as soon as possible to point BB located in the field at a distance ll from the highway. It is known that the car moves in the field α\alpha times slower than on the highway. At what distance from DD one must turn off the highway directly to B to reach there in the least of the time.

Details:

  • l=l = 500 m
  • α=3\alpha = 3
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