Question

Из двух городов одновременно навстречу друг другу выехали две машины.Одна ехала со скоростью 90км.ч,другая на 10км,ч меньше.Через три часа между ними было 40км. Какое расстояние между двумя городами?

Answer 1

90+80=170
170*3=510
510+40=550

Answer 2

Problem Analysis

We have two cars that start from two different cities and travel towards each other. The first car is traveling at a speed of 90 km/h, while the second car is traveling at a speed 10 km/h slower than the first car. After three hours, the distance between the two cars is 40 km. We need to find the distance between the two cities.

Solution

Let's break down the problem and solve it step by step.

1. Let's assume that the distance between the two cities is x km. 2. The first car is traveling at a speed of 90 km/h, so in three hours, it would have covered a distance of 90 km/h * 3 h = 270 km. 3. The second car is traveling at a speed 10 km/h slower than the first car, so its speed is 90 km/h - 10 km/h = 80 km/h. In three hours, it would have covered a distance of 80 km/h * 3 h = 240 km. 4. The total distance covered by both cars in three hours is 270 km + 240 km = 510 km. 5. The distance between the two cars after three hours is 40 km. 6. Therefore, the remaining distance between the two cities is x km - 510 km = 40 km. 7. Solving for x, we find that the distance between the two cities is x km = 40 km + 510 km = 550 km.

Answer

The distance between the two cities is 550 km.

Explanation

The first car travels at a speed of 90 km/h for three hours, covering a distance of 270 km. The second car, traveling at a speed of 80 km/h, covers a distance of 240 km in the same time. The total distance covered by both cars in three hours is 510 km. Since the distance between the two cars after three hours is 40 km, the remaining distance between the two cities is 550 km.