Question

С двух мест одновременно навстречу друг другу выехали мотоциклист со скоростью 70 км/ч и велосипидист, скорость которого в 5 раз меньше. Они встретились через 3 часа. Какое расстояние между городами?

Answer 1

1) 70 : 5 = 14 (км/ч) - велосипедист.
2) 70 + 14 = 84 (км/ч) мотоциклистов и велосипедиста
3) 84 × 3 = 252 (км) - расстояние
Ответ: 252 км

Answer 2

Problem Analysis

We are given that a motorcyclist and a cyclist start from two different places simultaneously and travel towards each other. The motorcyclist has a speed of 70 km/h, while the cyclist's speed is 5 times slower. They meet after 3 hours. We need to find the distance between the two cities.

Solution

Let's assume the distance between the two cities is d km.

The motorcyclist's speed is 70 km/h, so in 3 hours, the motorcyclist would have traveled a distance of 70 km/h * 3 h = 210 km.

The cyclist's speed is 5 times slower than the motorcyclist's speed, so the cyclist's speed is 70 km/h / 5 = 14 km/h. In 3 hours, the cyclist would have traveled a distance of 14 km/h * 3 h = 42 km.

Since they meet after 3 hours, the total distance traveled by both the motorcyclist and the cyclist is equal to the distance between the two cities. Therefore, we can set up the equation:

d = distance traveled by the motorcyclist + distance traveled by the cyclist d = 210 km + 42 km d = 252 km

Answer

The distance between the two cities is 252 km.

Explanation

The motorcyclist travels at a speed of 70 km/h and the cyclist travels at a speed 5 times slower, which is 14 km/h. After 3 hours, the motorcyclist has traveled 210 km and the cyclist has traveled 42 km. The total distance between the two cities is the sum of these distances, which is 252 km.