Question

Решите задачу: расстояние между автобусом и автомобилем идущими навстречу друг к другу 1008 км. Средняя скорость автобуса 48 км|ч а скорость автомобиля в 2 раза больше. Через сколько часов они встретятся

Answer 1

Problem Analysis

To solve this problem, we need to find the time it takes for a bus and a car traveling towards each other to meet. We are given that the distance between them is 1008 km, the average speed of the bus is 48 km/h, and the speed of the car is twice that of the bus.

Solution

Let's denote the time it takes for the bus and the car to meet as t.

The distance traveled by the bus in time t is given by: Distance_bus = Speed_bus * t

The distance traveled by the car in time t is given by: Distance_car = Speed_car * t

Since the bus and the car are traveling towards each other, the sum of their distances should be equal to the total distance between them: Distance_bus + Distance_car = 1008 km

Substituting the values, we have: 48 km/h * t + (2 * 48 km/h) * t = 1008 km

Simplifying the equation: 48t + 96t = 1008

Combining like terms: 144t = 1008

Solving for t: t = 1008 / 144

Calculating the value of t: t ≈ 7 hours

Therefore, the bus and the car will meet after approximately 7 hours.

Answer

The bus and the car will meet after approximately 7 hours.