Question

Из пунктов А и B, расстояние между которыми равно s км, выехали одновременно навстречу друг другу два автомобиля. Скорость одного из них равна 60 км/ч, а другого - 80 км/ч. Какое расстояние будет между автомобилями через 2 часа, если известно, что: а) встреча ещё не произошла; б) встреча уже произошла и автомобили продолжили движение.

Answer 1

1) S- (60*2 + 80*2)= S-280

Answer 2

Problem Analysis

We are given two points A and B, which are s kilometers apart. Two cars start simultaneously from points A and B and move towards each other. The speed of one car is 60 km/h, and the speed of the other car is 80 km/h. We need to find the distance between the cars after 2 hours, considering two scenarios: a) The cars have not met yet. b) The cars have already met and continued moving.

Solution

To solve this problem, we need to consider the relative motion of the two cars. Let's analyze each scenario separately:

Scenario a) The cars have not met yet

In this scenario, the cars are moving towards each other and have not met yet. We can calculate the distance between the cars after 2 hours using the formula: Distance = (Speed of Car A + Speed of Car B) * Time

Given that the speed of Car A is 60 km/h and the speed of Car B is 80 km/h, the distance between the cars after 2 hours can be calculated as: Distance = (60 km/h + 80 km/h) * 2 hours

Calculating the above expression gives us: Distance = 140 km

Therefore, the distance between the cars after 2 hours, assuming they have not met yet, is 140 kilometers.

Scenario b) The cars have already met and continued moving

In this scenario, the cars have already met and continued moving. Since they have already met, the distance between them is zero. Therefore, the distance between the cars after 2 hours will still be zero.

Summary

To summarize, the distance between the cars after 2 hours will depend on whether they have already met or not. If they have not met yet, the distance will be 140 kilometers. If they have already met and continued moving, the distance will be zero.

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