Question

Из двух сёл одновременно навстречу друг другу вышли два пешехода.Скорость одного пешехода равна 5 км/ч,что составляет 5/6 скорости второго.Через сколько часов после начала движения они встретятся,если расстояние между сёлами равно 22 км?

Answer 1

5:5*6=6 (км/ч) - скорость второго
5+6=11 (км/ч) - скорость сближения
22:11=2 (ч)
ответ через 2 часа

Answer 2

Problem Analysis

We are given that two pedestrians start walking towards each other from two different villages. The speed of one pedestrian is 5 km/h, which is 5/6 of the speed of the other pedestrian. We need to determine how many hours it will take for them to meet if the distance between the villages is 22 km.

Solution

Let's assume the speed of the slower pedestrian is x km/h. According to the problem, the speed of the faster pedestrian is 5/6 times the speed of the slower pedestrian, which is (5/6)x km/h.

We can use the formula distance = speed × time to find the time it takes for the pedestrians to meet. The total distance they need to cover is 22 km.

Let's denote the time it takes for them to meet as t hours. The distance covered by the slower pedestrian in t hours is x × t km, and the distance covered by the faster pedestrian in t hours is (5/6)x × t km.

Since they are walking towards each other, the sum of the distances covered by both pedestrians should be equal to the total distance between the villages:

x × t + (5/6)x × t = 22

Simplifying the equation:

t(x + (5/6)x) = 22

t(11/6)x = 22

Dividing both sides of the equation by (11/6)x:

t = 22 / (11/6)x

Simplifying further:

t = (22 × 6) / 11x

t = 132 / 11x

Therefore, the pedestrians will meet after 132 / 11x hours.

Now, let's substitute the value of x into the equation to find the exact time it will take for them to meet.

According to the problem, the speed of one pedestrian is 5 km/h, which is 5/6 of the speed of the other pedestrian. Let's denote the speed of the slower pedestrian as x km/h. Therefore, the speed of the faster pedestrian is (5/6)x km/h.

Substituting x = 5 km/h into the equation:

t = 132 / 11(5) = 132 / 55 = 2.4 hours

Therefore, the pedestrians will meet after approximately 2.4 hours.

Answer

The two pedestrians will meet approximately 2.4 hours after the start of their journey.