Question

От двух пристаней одновременно отошли навстречу друг другу два катера, которые встретились через 3 часа. Скорость первого катера 15км/ч, а скорость второго катера 18км/ч. Найти расстояние между пристанями.

Answer 1

Problem Analysis

We have two boats that start from two different docks and travel towards each other. We are given the speeds of both boats and the time it takes for them to meet. We need to find the distance between the docks.

Solution

Let's assume that the distance between the docks is d.

We can use the formula distance = speed × time to find the distance traveled by each boat.

For the first boat: - Speed = 15 km/h - Time = 3 hours - Distance traveled by the first boat = 15 km/h × 3 hours = 45 km

For the second boat: - Speed = 18 km/h - Time = 3 hours - Distance traveled by the second boat = 18 km/h × 3 hours = 54 km

Since the boats are traveling towards each other, the sum of the distances traveled by both boats will be equal to the distance between the docks: 45 km + 54 km = 99 km

Therefore, the distance between the docks is 99 km.

Answer

The distance between the two docks is 99 km.

Verification

Let's verify the answer using the given information.

The first boat travels at a speed of 15 km/h for 3 hours, covering a distance of 45 km. The second boat travels at a speed of 18 km/h for 3 hours, covering a distance of 54 km. The sum of these distances is indeed 99 km.

Therefore, the answer is correct.

Conclusion

The distance between the two docks is 99 km.