Question

из городов а и б расстояние между которыми 320 км одновременно навстречу друг другу выехали грузовой и легковой автомобили скорость грузового автомобиля 65 км ч найди скорость легкового автомобиля если известно что они встретились через 2 часа

Answer 1

Problem Analysis

We are given that two vehicles, a truck and a car, start simultaneously from two cities, A and B, which are 320 km apart. The truck's speed is given as 65 km/h. We need to find the speed of the car if they meet after 2 hours.

Solution

To find the speed of the car, we can use the formula:

Distance = Speed × Time

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

The truck and the car are traveling towards each other, so their combined speed is the sum of their individual speeds. Therefore, the combined speed is 65 km/h + x km/h.

The distance traveled by the truck in 2 hours is 65 km/h × 2 hours = 130 km.

The distance traveled by the car in 2 hours is also 130 km.

Since the total distance between the two cities is 320 km, we can set up the following equation:

130 km + 130 km = 320 km

Simplifying the equation, we get:

260 km = 320 km

To solve for x, we can subtract 130 km from both sides of the equation:

x km = 320 km - 130 km

Simplifying further, we get:

x km = 190 km

Therefore, the speed of the car is 190 km/h.

Answer

The speed of the car is 190 km/h.