Question

Из двух городов, расстояние между которыми равно 625 км, навстречу другдругу одновременно выехали два автомобиля. Найдите скорость первого автомобиля, если скорость второго равна 60 км/ч и автомобили встретились через 5 часов после выезда.

Answer 1

65 километров в час.

Answer 2

Problem Analysis

We are given that two cars start from two different cities and travel towards each other simultaneously. The distance between the cities is 625 km. We are also given that the second car is traveling at a speed of 60 km/h and the cars meet after 5 hours. We need to find the speed of the first car.

Solution

Let's assume the speed of the first car is x km/h.

We know that the distance traveled by a car is equal to the product of its speed and time. Therefore, the distance traveled by the first car in 5 hours is 5x km.

Since the two cars are traveling towards each other, the sum of the distances traveled by both cars should be equal to the total distance between the cities, which is 625 km.

So, we can write the equation:

5x + 60(5) = 625

Simplifying the equation:

5x + 300 = 625

5x = 625 - 300

5x = 325

x = 325/5

x = 65

Therefore, the speed of the first car is 65 km/h.

Answer

The speed of the first car is 65 km/h.