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Physics, 22.05.2020 05:05 ayoismeisalex

Three swimmers who all swim at the same speed discuss how to cross a river in the shortest amount of time. Swimmer AA will swim straight across the river at a right angle to the current. Swimmer BB reasons that the current will carry AA downstream, meaning that A will cover a greater distance to get across and therefore will take a longer time interval. BB says he will aim at an upstream angle such that, allowing for the current, he will reach the other side directly across from where he starts, thus covering the shortest distance and arriving first. Swimmer CC, reasoning that the time interval needed for BB to cross will be longer than BB expects because some of BB's effort will be spent battling the current, plans to aim at a downstream angle, so that the current assists rather than opposes him. This way he will be traveling at the highest speed and get across first. Who crosses the river in the least time?

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