
Расстояние между машинами равно 130 км. Их водителям дан приказ об одновременном начале движения
навстречу друг к другу и встрече через 2 ч. С какой скоростью должна двигаться каждая машина, если скорость второй машины на 5 км/ч меньше первой.

Ответы на вопрос

65-5=60 км/час скорость сближения без разницы
60:2=30 км/час скорость второй машины
30+5=35 км/час скорость первой машины
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Problem Analysis
Two cars are initially 130 km apart and are given the order to start moving towards each other simultaneously. They will meet after 2 hours. The second car is traveling 5 km/h slower than the first car. We need to determine the speed at which each car should be moving.Solution
Let's assume the speed of the first car is x km/h. Since the second car is traveling 5 km/h slower, its speed will be x - 5 km/h.To find the speed at which each car should be moving, we can use the formula:
Distance = Speed × Time
For the first car: - Distance = 130 km (since they are initially 130 km apart) - Speed = x km/h - Time = 2 hours (since they will meet after 2 hours)
Using the formula, we can write the equation:
130 = x × 2
Simplifying the equation, we get:
x = 130 / 2
So, the speed of the first car is 65 km/h.
For the second car: - Distance = 130 km (since they are initially 130 km apart) - Speed = x - 5 km/h (since the second car is traveling 5 km/h slower) - Time = 2 hours (since they will meet after 2 hours)
Using the formula, we can write the equation:
130 = (x - 5) × 2
Simplifying the equation, we get:
x - 5 = 130 / 2
x - 5 = 65
Adding 5 to both sides of the equation, we get:
x = 65 + 5
So, the speed of the second car is 70 km/h.
Therefore, the first car should be moving at a speed of 65 km/h and the second car should be moving at a speed of 70 km/h.
Answer
The first car should be moving at a speed of 65 km/h and the second car should be moving at a speed of 70 km/h.

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