The boat passes the distance between the two berths downstream in 2 hours, and against the current in 3 hours.

univerkov | January 1, 2021 | education

The boat passes the distance between the two berths downstream in 2 hours, and against the current in 3 hours. How many hours will the raft cover this distance?

Let the speed of the current (or the speed of the raft) be x km / h, and the speed of the boat – y.
Then we compose and solve the equation:
(x + y) * 2 = (y – x) * 3
2x + 2y = 3y – 3x
5x = y
Since there is not enough data in the condition (you need to additionally know either the distance or the speed of the boat), the speed of the raft can only be expressed through the speed of the boat: x = y / 5.

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