Question

Із селища до міста виїхав рейсовий автобус зі швидкістю 60 кілометрів на годину одночасно з міста йому назустріч виїхав інший рейсовий автобус Швидкість якого на 12 кілометрів за годину більша через скільки годин Вони зустрінуться якщо відстань між селищем і містом 396 кілометрів

Answer 1

60+12=72
60+72=132
396/132=3години

Answer 2

Problem Analysis

We are given that a regular bus left a village towards a city with a speed of 60 kilometers per hour. At the same time, another regular bus left the city towards the village with a speed 12 kilometers per hour faster. We need to determine how many hours it will take for them to meet if the distance between the village and the city is 396 kilometers.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between two objects moving in opposite directions is the sum of their individual speeds.

Let's assume that the time taken for the buses to meet is 't' hours. During this time, the first bus would have traveled a distance of 60t kilometers, and the second bus would have traveled a distance of (60 + 12)t = 72t kilometers.

Since the total distance between the village and the city is 396 kilometers, we can set up the following equation:

60t + 72t = 396

Simplifying the equation, we get:

132t = 396

Dividing both sides of the equation by 132, we find:

t = 3

Therefore, it will take 3 hours for the buses to meet.

Answer

The buses will meet after 3 hours.

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