The speed of the steamer relative to the coast when moving downstream is 50 km / h

| March 1, 2021 | education

The speed of the steamer relative to the coast when moving downstream is 50 km / h, upstream 40 km / h. will determine the own speed of the steamer and the speed of the river

V1 = 50 km / h.

V2 = 40 km / h.

Vpar -?

Vtech -?

According to the law of relativity of motion, the speed of the steamer relative to the earth V1 behind the current is the sum of the speed of the steamer relative to the water Vpar and the speed of the current Vflow: V1 = Vpar + Vflow.

When the steamer moves against the current, its speed relative to the coast V2 will be the difference: V2 = Vpar – Vflow.

We have 2 equations and two unknowns.

Vflow = Vpap – V2.

V1 = Vpair + Vpar – V2.

Vpairs = (V1 + V2) / 2.

Vpar = (50 km / h + 40 km / h) / 2 = 45 km / h.

Vflow = 45 km / h – 40 km / h = 5 km / h.

Answer: the steamer’s own speed is Vpar = 45 km / h, the river speed is Vflow = 5 km / h.



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