Crossing River using pointing method!

Suppose you are anchored near the shore of a channel of width \(b\) in which there is steady current, and you run your (motor) boat at constant throttle to a dock directly across the channel on the opposite shore. You steer the boat in such a way that the nose of the boat is always pointed directly at the dock. The velocity of the boat with respect to the water is ‘\(v\)’ and the velocity of water is \(‘u\).

Find the time it takes you to reach the dock.

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