Question

Расстояние от пристани А до пристани В катер проплыл за 6 ч, а от пристани В до пристани А-за 7.5 ч. Скорость течения реки 2 км/ч. Найдите собственную скорость катера. Более подробно

Answer 1

Собственная скорость катера х км/ч. Скорость по течению х+2, против течения х-2. Расстояние одно и то же. 6*(х+2)=7*(х-2) х=26.

Answer 2

Calculating the Boat's Speed

To find the boat's speed, we can use the formula: speed = distance / time.

The boat's speed is the sum of its own speed and the speed of the river's current. Let's denote the boat's speed as B and the speed of the river's current as R.

Given: - Time taken from port A to port B = 6 hours - Time taken from port B to port A = 7.5 hours - Speed of the river's current = 2 km/h

We can set up the following equations based on the given information:

1. For the journey from A to B: - B + R = distance_AB / 6 (Equation 1)

2. For the journey from B to A: - B - R = distance_BA / 7.5 (Equation 2)

We can solve these equations to find the boat's speed.

Solving for Boat's Speed

Adding Equation 1 and Equation 2, we get: - 2B = (distance_AB / 6) + (distance_BA / 7.5)

Substituting the given time and speed of the river's current: - 2B = (distance_AB / 6) + (distance_BA / 7.5) - 2B = (B + 2) + (B - 2) - 2B = 2B - B = 2

So, the boat's speed is 2 km/h.