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Let the current speed by x mi/hr.
Then the boat speed in still water is 2x mi/hr. The speed upstream is 2x - x = x, and downstream it is 2x + x = 3x. If t hr. is the upstream time, the downstream time is 8 - t hr. Equating the distances up and down: xt = 3x(8 - t) ...(1) t = 24 - 3t t = 6 hr. The current can have any rate except zero. Because the travel times are expressed as multiples of the current rate, it makes no difference and disappears from the equation (1). |
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