Question

Помогите кто нибудь решить задачу по действиям с пояснением и выполнить проверку.Два пешехода вышли одновременно в одном направлении из двух сёл,расстояние между которыми 6 км.Скорость первого-4 км/ч,а второго-6 км/ч.Через сколько часов второй догонит первого?

Answer 1

Скорость сближения (6-4)=2 км/ч
Время 6:2=3 (ч)
Проверяем. Если они оба идут 3 часа, то второй пройдет (6×3)=18 км, а первый (3×4)=12 км. 18-12=6 км, т.е. как раз то количество километров, которые надо было второму пройти дополнительно.

Answer 2

Problem Statement:

Два пешехода вышли одновременно в одном направлении из двух сёл, расстояние между которыми 6 км. Скорость первого - 4 км/ч, а второго - 6 км/ч. Через сколько часов второй догонит первого?

Solution:

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it takes for each pedestrian to reach the other village:

- For the first pedestrian: time = distance / speed = 6 km / 4 km/h = 1.5 hours. - For the second pedestrian: time = distance / speed = 6 km / 6 km/h = 1 hour.

Since the second pedestrian has a faster speed, they will catch up to the first pedestrian. The time it takes for the second pedestrian to catch up to the first pedestrian is the difference in their times:

- Catch-up time = 1.5 hours - 1 hour = 0.5 hours.

Therefore, the second pedestrian will catch up to the first pedestrian in 0.5 hours.

Answer: The second pedestrian will catch up to the first pedestrian in 0.5 hours.

Verification:

To verify the answer, we can calculate the distances covered by each pedestrian in the given time:

- For the first pedestrian: distance = speed * time = 4 km/h * 0.5 hours = 2 km. - For the second pedestrian: distance = speed * time = 6 km/h * 0.5 hours = 3 km.

As we can see, the second pedestrian will cover a distance of 3 km in 0.5 hours, which is equal to the distance covered by the first pedestrian in the same time. This confirms that the second pedestrian will catch up to the first pedestrian in 0.5 hours.

Verification: The second pedestrian will cover a distance of 3 km in 0.5 hours, which is equal to the distance covered by the first pedestrian in the same time. Therefore, the answer is verified.