Question

З двох міст назустріч один одному виїхали автобус і легковий автомобіль Швидкість автобуса 65 км/год А автомобіля на 13 км/год більше Вони зустрілися через 3 год Знайти відстань між ними

Answer 1

65 + 13 = 78 км/год швидкість легкового автомобіля 
78 + 65 = 143 км вони разом долають за годину
143 * 3 = 429 км

Answer 2

Problem Analysis

We are given that a bus and a car start from two different cities and travel towards each other. The bus has a speed of 65 km/h, while the car has a speed that is 13 km/h faster than the bus. They meet after 3 hours. We need to find the distance between them.

Solution

Let's assume that the distance between the two cities is D km.

We know that the speed of the bus is 65 km/h and the speed of the car is 13 km/h more than the bus. Therefore, the speed of the car is 65 + 13 = 78 km/h.

Since both vehicles are traveling towards each other, their combined speed is the sum of their individual speeds, which is 65 km/h + 78 km/h = 143 km/h.

We also know that they meet after 3 hours. Therefore, the total distance covered by both vehicles is 143 km/h * 3 hours = 429 km.

Since they meet at the same point, the sum of the distances covered by the bus and the car should be equal to the total distance between the two cities.

Let's represent the distance covered by the bus as x km. Therefore, the distance covered by the car would be D - x km.

According to the problem, the sum of the distances covered by the bus and the car is equal to the total distance between the two cities:

x + (D - x) = 429

Simplifying the equation, we get:

D = 429

Therefore, the distance between the two cities is 429 km.

Answer

The distance between the two cities is 429 km.