The boat with its own speed of 20 km / h sailed for 4 hours along the river and 6 hours

The boat with its own speed of 20 km / h sailed for 4 hours along the river and 6 hours against the current. The entire route of the boat was 196 km. Find the speed of the river.

1). The speed of the river is x kilometers per hour.

2). The speed of the boat along the river is (20 + x) km. in hour.

3). The speed of the boat against the current is (20 – x) km. in hour.

4). The distance that the boat sailed downstream is 4 * (20 + x) = 80 + 4x;

5) The distance that the boat sailed against the current is 6 * (20 – x) = 120 – 6x;

6). Let’s compose and solve the equation.

(80 + 4x) + (120 – 6x) = 196;

80 + 4x + 120 – 6x = 196;

80 +120 – 196 = 6x -4x;

4 = 2x;

x = 4/2;

x = 2;

Answer: The speed of the river is x = 2 kilometers per hour.