Boat and Hat problem.
Point A and B are 1 km apart. Mike starts rowing from A towards B, along a river that flows at a constant rate. As he passes B his Hat falls into the river. Ten minutes later, he notices his hat and turns the boat around instantaneously rowing at the same constant rate. By the time he reaches the hat, he is at A.
How fast is the river flowing?
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1 solution
Our given are: 1. time it takes for mike to row from the point he turns around + 1/6(hr) is equal to time it takes for the hat at river speed x. let x = river speed, m = mikey's speed. (m-x)/6 = distance traveled at turning point. 1/6 + [(m-6)/x +1]/ (m+x) = 1/x further simplification leads to mx-3m = 0 m(x-3) =0 x = 3