Question

задача:Два автомобиля выехали одновременно из пунктов А и В навстречу друг другу и через час встретились.Не остонавливаясь,они продолжали движение с той же скоростью,причем первый автомобиль прибыл в В на 27 минут позже ,чем второй прибыл в А .Расстояие между пунктами А и В равно 90 км.Найдите скорость каждого автомобиля

Answer 1

Это аналогично этой *ва велосипедиста выехали одновременно навстречу друг другу из двух сел А и В. Первый прибыл в В через 12 мин после встречи, а второй прибыл в А через 27 мин после встречи. Через сколько минут после выезда из своих сел они встретились?* 
Ну а вот решение этой задачи про велосипедиста: 24 - 12=15 МИН.
Ответ: Встретились через 15 после выезда двоих! 

Answer 2

Problem Analysis

We have two cars that start simultaneously from points A and B and meet after one hour. They continue moving at the same speed, and the first car arrives at point B 27 minutes later than the second car arrives at point A. The distance between points A and B is 90 km. We need to find the speed of each car.

Solution

Let's assume the speed of the first car is v1 and the speed of the second car is v2.

To find the speed of each car, we can use the formula: speed = distance / time.

We know that the time taken by both cars to meet is 1 hour. Therefore, the distance traveled by the first car in 1 hour is v1 * 1 and the distance traveled by the second car in 1 hour is v2 * 1.

We also know that the first car arrives at point B 27 minutes later than the second car arrives at point A. Since 27 minutes is equal to 27/60 = 0.45 hours, the time taken by the first car to travel from point A to point B is 1 + 0.45 = 1.45 hours.

Using the formula speed = distance / time, we can set up the following equations:

For the first car: v1 * 1 = 90 (distance between A and B) v1 * 1.45 = 90 (time taken to travel from A to B)

For the second car: v2 * 1 = 90 (distance between A and B) v2 * 1 = 90 (time taken to travel from B to A)

Simplifying the equations, we get: v1 = 90 v1 * 1.45 = 90 v2 = 90 v2 * 1 = 90

Solving these equations, we find: v1 = 62.07 km/h v2 = 90 km/h

Therefore, the speed of the first car is approximately 62.07 km/h, and the speed of the second car is 90 km/h.