Question

2 автомобиля выехали одновременно из 2 городов навстречу друг другу со скоростями 44,7 км/ч и 42,8 км/ч.Через 9.3 ч автомобили встретились.Найдите расстояние между городами если в пути каждый автомобиль делал остановку на 1,3 ч.

Answer 1

Problem Analysis

We are given that two cars start simultaneously from two different cities and travel towards each other. The speeds of the cars are 44.7 km/h and 42.8 km/h, respectively. After 9.3 hours, the cars meet. Each car makes a stop for 1.3 hours during the journey. We need to find the distance between the cities.

Solution

To find the distance between the cities, we can use the formula:

Distance = (Speed of Car 1 + Speed of Car 2) * Time

However, since each car makes a stop for 1.3 hours, we need to subtract the total time spent on stops from the total time traveled.

Let's calculate the distance between the cities step by step.

1. Calculate the total time traveled by both cars: - Car 1: 9.3 hours - Car 2: 9.3 hours - Total time traveled by both cars: 9.3 + 9.3 = 18.6 hours

2. Calculate the total time spent on stops by both cars: - Car 1: 1.3 hours - Car 2: 1.3 hours - Total time spent on stops by both cars: 1.3 + 1.3 = 2.6 hours

3. Calculate the effective time traveled by both cars (subtracting the time spent on stops): - Effective time traveled by both cars: Total time traveled - Total time spent on stops = 18.6 - 2.6 = 16 hours

4. Calculate the distance between the cities using the formula: - Distance = (Speed of Car 1 + Speed of Car 2) * Time - Distance = (44.7 km/h + 42.8 km/h) * 16 hours

Let's calculate the distance using the given values:

Distance = (44.7 + 42.8) * 16 = 87.5 * 16 = 1400 km

Therefore, the distance between the cities is 1400 km.

Answer

The distance between the cities is 1400 km.