The boat’s own speed is 10 times higher than the speed of the river flow in 5 hours the boat covered 90 km

The boat’s own speed is 10 times higher than the speed of the river flow in 5 hours the boat covered 90 km of the way against the river flow. Find your own boat and river speed.

1. Let X km / h be the speed of the river.

Then (X * 10) km / h is the boat’s own speed.

2. The boat went against the current of the river.

Let’s find their joint speed.

X * 10 – X = 9 * X km / h.

3. On the other hand, in order to find the speed, you need to divide the distance traveled by the travel time.

The speed is 90/5 = 18 km / h.

We got the equation.

9 * X = 18.

X = 18/9.

X = 2 km / h – river speed.

10 * X = 10 * 2 = 20 km / h – boat speed.

Answer: The boat’s own speed is 20 km per hour, the speed of the river flow is 2 km per hour.