Question

Расстояние от Риги до Вентспилса 198 км.Из этих городов одновременно навстречу друг другу выехали два велосипедиста со скоростью 15 км/ч и 18 км/ч соответственно. Через какое время велосипедисты встретятся? На каком расстоянии от Риги они встретятся?

Answer 1

15+18= 33  км/час
198/33=6 часов.  
Встретятся  через 6  часов
  6*15= 90  км
На  расстоянии от Риги  90  км.

Answer 2

198: (15+18)= 6
Ответ: через 6 часов

Answer 3

Problem Analysis

We have two cyclists who start simultaneously from Riga and Ventspils, traveling towards each other. The distance between Riga and Ventspils is 198 km. The cyclists have speeds of 15 km/h and 18 km/h, respectively. We need to determine the time it takes for the cyclists to meet and the distance from Riga where they meet.

Solution

To solve this problem, we can use the formula: time = distance / speed. Let's calculate the time it takes for the cyclists to meet.

The total distance between Riga and Ventspils is 198 km. Since the cyclists are traveling towards each other, their combined distance traveled will be equal to the total distance between the two cities.

Let's assume that the time it takes for the cyclists to meet is 't' hours.

The distance traveled by the first cyclist in 't' hours is given by: distance = speed * time = 15 * t km.

The distance traveled by the second cyclist in 't' hours is given by: distance = speed * time = 18 * t km.

Since the sum of the distances traveled by both cyclists is equal to the total distance between Riga and Ventspils, we can set up the following equation:

15t + 18t = 198

Simplifying the equation:

33t = 198

Dividing both sides by 33:

t = 198 / 33

t = 6

Therefore, it will take 6 hours for the cyclists to meet.

To find the distance from Riga where they meet, we can substitute the value of 't' into the equation for the distance traveled by the first cyclist:

distance = speed * time = 15 * 6 = 90 km

Therefore, the cyclists will meet 90 km from Riga.

Answer

The cyclists will meet after 6 hours of cycling, and they will meet 90 km from Riga.