Question

Мотоциклист проезжает за 3 часа такое же растояние какое автомобилист проезжает за 4 часа они выехали из двух пунктов растоянние 12 км в одном направлении так что мотоциклист догоняет автомобилиста. сколько км проедет мотоциклист пока догонит автомобилиста

Answer 1

Пусть х км/ч - скорость автомобилиста, у км/ч - скорость мотоциклиста.
Т к мотоциклист проезжает за 3 ч. такое же расстояние, какое автомобилист проезжает за 4ч., то  4х=3у. Отсюда у=4/3 х - скорость мотоциклиста.
Пусть S  километров проедет автомобилист, пока его не догонит мотоциклист, тогда мотоциклист проедет 12+S км
Т к они выехали одновременно в одном направлении  и мотоциклист догоняет автомобилиста, то до места встречи они проедут за одно и то же время
 км
36 километров проедет автомобилист, пока его не догонит мотоциклист.

Answer 2

Problem Analysis

We are given that a motorcyclist and a motorist start from two different points and travel a distance of 12 km in the same direction. The motorcyclist completes the distance in 3 hours, while the motorist takes 4 hours. We need to determine how many kilometers the motorcyclist will travel before catching up to the motorist.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed of the motorcyclist with respect to the motorist is the difference in their speeds. Since they are traveling in the same direction, the motorcyclist needs to cover this relative speed in order to catch up to the motorist.

Let's calculate the relative speed first. We know that the motorcyclist takes 3 hours to cover a distance of 12 km, so their speed is 12 km / 3 hours = 4 km/h. Similarly, the motorist takes 4 hours to cover the same distance, so their speed is 12 km / 4 hours = 3 km/h.

The relative speed of the motorcyclist with respect to the motorist is the difference between their speeds: 4 km/h - 3 km/h = 1 km/h.

Now, we can calculate the distance the motorcyclist needs to cover to catch up to the motorist. Since the motorcyclist and the motorist are traveling in the same direction, the motorcyclist needs to cover the relative speed of 1 km/h.

To find the time it takes for the motorcyclist to catch up to the motorist, we can use the formula: time = distance / speed. In this case, the distance is the relative speed of 1 km/h and the speed is the speed of the motorcyclist, which is 4 km/h.

Let's calculate the time it takes for the motorcyclist to catch up to the motorist: time = distance / speed = 1 km / 4 km/h = 0.25 hours.

Since we know the time it takes for the motorcyclist to catch up to the motorist, we can calculate the distance the motorcyclist travels during this time. The distance is the product of the time and the speed of the motorcyclist: distance = time * speed = 0.25 hours * 4 km/h = 1 km.

Therefore, the motorcyclist will travel 1 km before catching up to the motorist.

Answer

The motorcyclist will travel 1 km before catching up to the motorist.