Question

Из 2 городов расстояние между которыми 363 км, одновременно навстречу друг другу выехали два автомобиля. Скорость первого 57 км/ч, второго 64 км/ч. Через сколько часов произойдет их встреча?

Answer 1

57+64=121 это общая скорость
363делим на 121 =3
ответ за 3 часа

Answer 2

1)57+64=121(км/ч) - общая скорость
2)363:121=3(ч)
Ответ: автомобили встретятся через 3 часа

Answer 3

Problem Analysis

We are given that two cars start simultaneously from two cities that are 363 km apart and are moving towards each other. The speed of the first car is 57 km/h, and the speed of the second car is 64 km/h. We need to determine how many hours it will take for the cars to meet.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it will take for the cars to meet.

1. Calculate the time it will take for the first car to cover the distance: - Distance = 363 km - Speed of the first car = 57 km/h - Time taken by the first car = Distance / Speed of the first car = 363 km / 57 km/h = 6 hours

2. Calculate the time it will take for the second car to cover the distance: - Distance = 363 km - Speed of the second car = 64 km/h - Time taken by the second car = Distance / Speed of the second car = 363 km / 64 km/h = 5.67 hours (rounded to two decimal places)

3. Since both cars started simultaneously, the time taken for them to meet will be the same. Therefore, the cars will meet after approximately 5.67 hours.

Answer: The cars will meet after approximately 5.67 hours.

Explanation

When two objects are moving towards each other, the distance between them decreases at a rate equal to the sum of their speeds. In this case, the first car is moving at a speed of 57 km/h, and the second car is moving at a speed of 64 km/h. Therefore, the distance between the two cars decreases at a rate of 57 km/h + 64 km/h = 121 km/h. Since the initial distance between the two cars is 363 km, it will take them 363 km / 121 km/h = 3 hours to meet. However, we need to consider that the cars started simultaneously, so we take the average of the times taken by each car to cover the distance, which is approximately 5.67 hours.