Question

Решите задачу. Два катера плывут на встречу друг другу. Скорость первого катера 18 км/ч, а скорость второго катера на 6 км/ч больше. Сейчас между ними 16 км. Через сколько времени они встрется? Решите пожалуйста дам 15 баллов!

Answer 1

1) 18км/ч + 6км/ч = 24км/ч - скорость 2-го катера
2) 18км/ч + 24км/ч = 42км/ч - скорость сближения катеров
3) 16км : 42км/ч = 8/21 часа ≈ 23мин - через это время катера встретятся

Answer 2

Problem Analysis

We are given two boats traveling towards each other. The speed of the first boat is 18 km/h, and the speed of the second boat is 6 km/h faster than the first boat. The initial distance between the boats is 16 km. We need to determine how long it will take for the boats to meet.

Solution

Let's denote the time it takes for the boats to meet as t.

The distance covered by the first boat in time t is given by the formula: distance = speed × time.

Therefore, the distance covered by the first boat is 18t.

The distance covered by the second boat in time t is also given by the formula: distance = speed × time.

Since the speed of the second boat is 6 km/h faster than the first boat, the speed of the second boat is 18 + 6 = 24 km/h.

Therefore, the distance covered by the second boat is 24t.

The total distance covered by both boats is the sum of the distances covered by each boat.

So, the total distance covered is 18t + 24t = 42t.

We know that the initial distance between the boats is 16 km.

Therefore, the equation becomes: 42t = 16.

To find the value of t, we can solve this equation.

Calculation

42t = 16

Dividing both sides of the equation by 42, we get:

t = 16/42

Simplifying the fraction, we get:

t = 8/21

Therefore, it will take 8/21 hours for the boats to meet.

Answer

The boats will meet in 8/21 hours.

Please let me know if I can help you with anything else.