Question

Города A и B расположены на одном шоссе. Из города А в направлении города В выезжает автомобиль со скоростью 75 км/ч. Одновременно из города В в том же направлении выезжает автомобиль со скоростью 50 км/ч. Найдите расстояние между городами, если первый автомобиль догнал второй автомобиль через 5 часов после начала движения.

Answer 1

75-50 = 25 км/ч -скорость сближения.
25*5 = 125 км - расстояние между А и В.


Можно другим способом:
75*5 = 375 км проехал первый
50*5 = 250 км проехал второй.
375-250 = 125 км между А и В.

Answer 2

Problem Analysis

We are given that two cities, A and B, are located on the same highway. A car leaves city A towards city B with a speed of 75 km/h, while another car leaves city B towards city A with a speed of 50 km/h. We need to find the distance between the two cities if the first car overtakes the second car 5 hours after the start of their journey.

Solution

To find the distance between the two cities, we can use the formula: distance = speed × time.

Let's calculate the distance traveled by each car after 5 hours: - The first car travels at a speed of 75 km/h for 5 hours, so the distance traveled by the first car is 75 km/h × 5 h = 375 km. - The second car travels at a speed of 50 km/h for 5 hours, so the distance traveled by the second car is 50 km/h × 5 h = 250 km.

Since the first car overtakes the second car, the distance between the two cities is equal to the distance traveled by the first car, which is 375 km.

Therefore, the distance between cities A and B is 375 km.

Answer

The distance between cities A and B is 375 km.