# The boat sailed 50 km / h downstream in 2 hours, and 10 km / h more upstream in 3 hours.

The boat sailed 50 km / h downstream in 2 hours, and 10 km / h more upstream in 3 hours. find your own boat speed and current speed.

Let’s take the speed of the boat and the current through “k” and “t”. The speed downstream and against it are equal to (k + t) and (k – t), respectively.

Following the condition of the problem, we write the following equalities:

50 km / 2 h = 25 km / h = k + t; (one)

(50 + 10) km / 3 h = 60/3 km / h = 20 km / h = k – t; (2)

When adding (1) and (2) we get: 20 + 25 = 45 (km / h) = 2 * k,

k = 45/2 km / h = 22.5 km / h.

Subtracting (1) and (2) we get: 25 km / h – 20 km / h = 5 km / h = 2 * t; t = 5/2 km / h = 2.5 km / h.

Answer: the speed of the boat is 22.5 km / h; the current speed is 2.5 km / h.

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