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B.Math - crossing the river

Source:

June 17, 2012
calculusnumber theory theorems

Problem Statement

You are standing at the edge of a river which is 11 km wide. You have to go to your camp on the opposite bank . The distance to the camp from the point on the opposite bank directly across you is 11 km . You can swim at 22 km/hr and walk at 33 km-hr . What is the shortest time you will take to reach your camp?(Ignore the speed of the river and assume that the river banks are straight and parallel).