Question

Из двух населённых пунктов, расстояние между которыми 300 км, одновременно навстречу друг другу отправились мотоциклист и велосипедист. Скорость велосипедиста 15км/ча скорость мотоциклиста в 3 раза больше. через сколько часов они встретятся?

Answer 1

15*3=45км/ч - скорость мотоциклиста
15+45=60км/ч - скорость сближения
300/60=5ч - встретятся
Ответ  через 5ч встретятся

Answer 2

Problem Analysis

We are given that the distance between two towns is 300 km. A motorcyclist and a cyclist start simultaneously from each town towards each other. The cyclist's speed is 15 km/h, and the motorcyclist's speed is 3 times greater. We need to determine how many hours it will take for them to meet.

Solution

Let's denote the speed of the cyclist as v km/h. According to the problem, the speed of the motorcyclist is 3 times greater than the cyclist's speed, so the speed of the motorcyclist is 3v km/h.

To find the time it takes for them to meet, we can use the formula:

time = distance / relative speed

The relative speed is the sum of their speeds since they are moving towards each other.

Substituting the given values, we have:

time = 300 km / (v + 3v) km/h

Simplifying the expression, we get:

time = 300 km / 4v km/h

Now, we can solve for time by substituting the given value of the cyclist's speed (v = 15 km/h):

time = 300 km / (4 * 15 km/h)

Calculating this expression, we find:

time = 300 km / 60 km/h

Simplifying further, we get:

time = 5 hours

Therefore, it will take them 5 hours to meet.

Answer

The cyclist and the motorcyclist will meet after 5 hours.