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

March 31, 2021 | education

| **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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