Question

Из пункта А в пункт В выехал автобус со скоростью 45 км/ч . Спустя час вслед за ним из пункта А выехал автомобиль со скоростью 60 км/ч , который обогнал автобус и прибыл в В на 40 мин раньше . Чему равно расстояние от А до В?

Answer 1

Пусть расстояние между А и В равно х км. Тогда время автомобиля х/60 час, а время автобуса х/45 час. Известно, что время автобуса на 1 час 40 мин больше чем время автособиля. Тогда так как 40 мин = 2/3 часа, то х/45 - х/60 = 1цел 2/3 х/45 - х/60 = 5/3 (умножим всё на 180) 4х - 3х = 300 х = 300 (км) Ответ: 300 км

Answer 2

Problem Analysis

We are given that a bus travels from point A to point B at a speed of 45 km/h. After an hour, a car departs from point A and overtakes the bus, arriving at point B 40 minutes earlier. We need to find the distance between points A and B.

Solution

Let's assume the distance between points A and B is d kilometers.

The bus travels at a speed of 45 km/h, so the time it takes for the bus to travel from A to B is d/45 hours.

The car travels at a speed of 60 km/h and arrives at point B 40 minutes (or 2/3 hours) earlier than the bus. Therefore, the time it takes for the car to travel from A to B is (d/60) - (2/3) hours.

Since the car overtakes the bus, the time it takes for the car to travel from A to B is less than the time it takes for the bus. Therefore, we can set up the following equation:

(d/60) - (2/3) < d/45

Simplifying the equation, we get:

3d - 40 < 2d

Solving for d, we find:

d < 40

Therefore, the distance between points A and B is less than 40 kilometers.

Answer

The distance from point A to point B is less than 40 kilometers.