Question

Погнавшись за Мюнхгаузеном, лев и крокодил выбежали навстречу друг другу. Лев бежал со скоростью 200 м/мин, а крокодил - 50 м/мин. Расстояние между ними - 1 км. А между ними бегает Мюнхгаузен. Добежав до льва, он поворачивает и бежит от него, но, добежав до крокодила, он поворачивает обратно. Бегает Мюнхгаузен со скоростью 400 м/ мин. В последний момент Мюнхгаузен отскочил - и лев прыгнул в пасть крокодилу. Сколько метров пробежал Мюнгхаузен?

Answer 1

За каждую минуту расстояние сокращается на 200+50=250метров. получаем лев и крокодил встретятся через 4 минуты. барон бегал 4 минуты со скоростью 400метров в минуту . итого 400×4=1600 метров он пробежал

Answer 2

Problem Analysis

In this problem, we are given that a lion and a crocodile are running towards each other. The lion runs at a speed of 200 m/min, while the crocodile runs at a speed of 50 m/min. The distance between them is 1 km. Additionally, there is a character named Münchhausen who runs between them at a speed of 400 m/min. We need to determine how many meters Münchhausen ran before the lion jumped into the crocodile's mouth.

Solution

To solve this problem, we can break it down into several steps:

1. Calculate the time it takes for the lion and the crocodile to meet each other. 2. Calculate the distance Münchhausen runs during this time. 3. Subtract the distance Münchhausen runs from the total distance between the lion and the crocodile to find the remaining distance. 4. Calculate the time it takes for the lion to reach the crocodile. 5. Calculate the distance Münchhausen runs during this time. 6. Add the distance Münchhausen runs in step 2 and step 5 to find the total distance Münchhausen ran.

Let's calculate each step in detail.

Step 1: Calculate the time it takes for the lion and the crocodile to meet each other.

The relative speed between the lion and the crocodile is the sum of their individual speeds. Therefore, the relative speed is 200 m/min + 50 m/min = 250 m/min.

To calculate the time it takes for them to meet, we can use the formula: time = distance / speed.

The distance between them is 1 km, which is equal to 1000 m. Therefore, the time it takes for them to meet is 1000 m / 250 m/min = 4 min.

Step 2: Calculate the distance Münchhausen runs during this time.

Münchhausen runs at a speed of 400 m/min for 4 min. Therefore, the distance Münchhausen runs is 400 m/min * 4 min = 1600 m.

Step 3: Subtract the distance Münchhausen runs from the total distance between the lion and the crocodile to find the remaining distance.

The total distance between the lion and the crocodile is 1 km, which is equal to 1000 m. Subtracting the distance Münchhausen runs (1600 m) from the total distance gives us the remaining distance: 1000 m - 1600 m = -600 m.

Step 4: Calculate the time it takes for the lion to reach the crocodile.

The lion runs at a speed of 200 m/min. To calculate the time it takes for the lion to reach the crocodile, we can use the formula: time = distance / speed.

The distance the lion needs to cover is the absolute value of the remaining distance, which is 600 m. Therefore, the time it takes for the lion to reach the crocodile is 600 m / 200 m/min = 3 min.

Step 5: Calculate the distance Münchhausen runs during this time.

Münchhausen runs at a speed of 400 m/min for 3 min. Therefore, the distance Münchhausen runs is 400 m/min * 3 min = 1200 m.

Step 6: Add the distance Münchhausen runs in step 2 and step 5 to find the total distance Münchhausen ran.

The total distance Münchhausen ran is the sum of the distances calculated in step 2 and step 5: 1600 m + 1200 m = 2800 m.

Therefore, Münchhausen ran 2800 meters before the lion jumped into the crocodile's mouth.

Conclusion

Münchhausen ran a total distance of 2800 meters before the lion jumped into the crocodile's mouth.

Note: The provided search results did not provide any relevant information for this specific problem. Therefore, the solution was derived using mathematical calculations based on the given information.