The speed of the motor ship against the flow of the river is 24.8 km / h, and the speed

The speed of the motor ship against the flow of the river is 24.8 km / h, and the speed of the current is 2.6 km / h. Find the speed of the boat along the river.

Let’s find what the own speed of the ship is equal to (the speed of the ship in still water).

Let us denote by the own speed of the motor ship v.

According to the condition of the problem, the speed of the motor ship against the river flow is 24.8 km / h, and the speed of the river flow is 2.6 km / h.

Since when a motor ship is sailing against the stream of the river, its actual speed turns out to be equal to the difference between its own speed and the speed of the river flow, we can make the following equation:

v – 2.6 = 24.8.

We solve the resulting equation and find the own speed of the ship:

v = 24.8 + 2.6;

v = 27.4 km / h.

We find the speed of the ship along the river as the sum of its own speed and the speed of the river:

27.4 + 2.6 = 30 km / h.

Answer: the speed of the ship along the river is 30 km / h.