Question

Автомобиль и велосипедист двигались навстречу друг другу. Автомобиль проехал до встречи 60 км, а велосипедист - в 4 раза меньше. Какое расстояние проехал до встречи велосипедист? Чему было равно расстояние между автомобилем и велосипедистом вначале?

Answer 1

1)60:4=15 (км)
2)60+15=75 (км)
Ответ:15 км, 75 км.

Answer 2

Problem Analysis

We are given that a car and a cyclist are moving towards each other. The car travels a distance of 60 km before they meet, and the distance traveled by the cyclist is 4 times less than that of the car. We need to find the distance traveled by the cyclist and the initial distance between the car and the cyclist.

Solution

Let's assume the distance traveled by the cyclist is x km. According to the given information, the distance traveled by the car is 4 times that of the cyclist, so the distance traveled by the car is 4x km.

The total distance covered by both the car and the cyclist is the sum of their individual distances. Since they meet each other, this total distance is equal to the distance between them at the start.

Therefore, we can write the equation:

x + 4x = 60

Simplifying the equation:

5x = 60

Dividing both sides of the equation by 5:

x = 12

So, the distance traveled by the cyclist is 12 km.

To find the initial distance between the car and the cyclist, we can substitute the value of x back into the equation:

4x = 4 * 12 = 48

Therefore, the initial distance between the car and the cyclist was 48 km.

Answer

The cyclist traveled a distance of 12 km before they met, and the initial distance between the car and the cyclist was 48 km.