Question

Одна легковая машина пробыла в дороге12ч.а другая 8ч. Первая машина проехала на 400 км больше,чем вторая. Какое расстояние проехала каждая машина, если у них одинаковая скорость?

Answer 1

12 - 8 = 4 часа
400 : 4 = 100 км/ч
100 * 12 = 1200 км - расстояние 1 маш.
100 * 8 = 800 км - расстояние 2 маш.

Answer 2

Problem Analysis

We are given two cars that have traveled for different durations on the road. The first car traveled for 12 hours, while the second car traveled for 8 hours. The first car traveled 400 km more than the second car. We need to determine the distance traveled by each car, assuming they have the same speed.

Solution

Let's assume the distance traveled by the second car is x km. Since the first car traveled 400 km more than the second car, the distance traveled by the first car is x + 400 km.

We can use the formula distance = speed × time to solve this problem. Since the speed is the same for both cars, we can set up the following equation:

x + 400 = x × 8/12

Simplifying the equation:

x + 400 = 2x/3

Multiplying both sides of the equation by 3 to eliminate the fraction:

3(x + 400) = 2x

Expanding the equation:

3x + 1200 = 2x

Subtracting 2x from both sides of the equation:

x + 1200 = 0

Subtracting 1200 from both sides of the equation:

x = -1200

Since the distance cannot be negative, we can conclude that there is no solution to this problem. It is not possible for two cars to have the same speed and travel for different durations while one car travels 400 km more than the other car.

Therefore, there is no valid solution to this problem.

Conclusion

Based on the given information, there is no valid solution to determine the distance traveled by each car, assuming they have the same speed.