You are on the west bank of a river which flows due south and want to...

 

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You are on the west bank of a river which flows due south and want to swim to the east bank. You have told your friends to meet you on the east bank directly opposite your starting point. Before starting out, you realize that, since the river is flowing swiftly at a speed of 11.0 ft/s and since your fastest swimming speed in still water is only 4.50 ft/s, you will inevitably be carried downstream. Nevertheless, you want to minimize the effort expended by your friends in walking downstream to meet you. Your guidebook to the region tells you that the width of the river is 250 ft. After a quick calculation, you call your friends and tell them to start walking to a new meeting point. How far downstream of the original meeting point should you tell them to walk? You are on the west bank of a river which flows due south and want to swim to the east bank. You have told your friends to meet you on the east bank directly opposite your starting point. Before starting out, you realize that, since the river is flowing swiftly at a speed of 11.0 ft/s and since your fastest swimming speed in still water is only 4.50 ft/s, you will inevitably be carried downstream. Nevertheless, you want to minimize the effort expended by your friends in walking downstream to meet you. Your guidebook to the region tells you that the width of the river is 250 ft. After a quick calculation, you call your friends and tell them to start walking to a new meeting point. How far downstream of the original meeting point should you tell them to walk?