A boat has a speed of 15 mph in still water. It travels downstream from Greentown to Glenavon in g hours. It then goes back upstream from Glenavon to Cambria, which is 2 miles downstream from Greentown, in g hours. Find the rate of the current.

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A boat has a speed of 15 mph in still water It travels downstream from Greentown to Glenavon in g hours It then goes back upstream from Glenavon to Cambria whic class=

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Answer:

The distance from Greentown to Glenavon is D1 = g*(15+x) miles downstream.

The distance from Glenavon to Cambria is D2 = g*(15-x) miles upstream.

The difference D1 - D2 is 2 miles, according to the condition.

It gives you an equation g*(15+x) - g*(15-x) = 2, which you can easily solve and find "x", the rate of the current. x = 1/g miles per hour.