Question

Два пловца спрыгнули одновременно с лодки и проплыли по реке в противоположных направлениях : первый со скоростью 90 метров/мин второй со скоростью 40 метров/мин. Сколько метров проплывёт второй пловец, когда первый проплывёт 270 метров. какое решение задачи.

Answer 1

1)270:90=3
2)3*40=120
ответ:120 метров

Answer 2

1)270:90=3
2)3*40=120
ответ:120 метров

Answer 3

Problem Analysis

We have two swimmers who jump simultaneously from a boat and swim in opposite directions. The first swimmer has a speed of 90 meters/minute, and the second swimmer has a speed of 40 meters/minute. We need to determine how many meters the second swimmer will swim when the first swimmer has swum 270 meters.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the two swimmers is the sum of their individual speeds. In this case, the relative speed is 90 + 40 = 130 meters/minute.

We can calculate the time it takes for the first swimmer to swim 270 meters using the formula: time = distance / speed. Therefore, the time taken by the first swimmer is 270 / 90 = 3 minutes.

Now, we can calculate the distance covered by the second swimmer in 3 minutes using the formula: distance = speed * time. Therefore, the distance covered by the second swimmer is 40 * 3 = 120 meters.

Answer: The second swimmer will swim 120 meters when the first swimmer has swum 270 meters.

Explanation

When the first swimmer has swum 270 meters, the second swimmer will have covered a distance of 120 meters in the opposite direction.

Verification

Let's verify the solution using the given information.

According to the problem statement, the first swimmer has a speed of 90 meters/minute and the second swimmer has a speed of 40 meters/minute. When the first swimmer has swum 270 meters, we need to calculate the distance covered by the second swimmer.

Using the solution, we calculated that the second swimmer will swim 120 meters when the first swimmer has swum 270 meters.

Let's calculate the time taken by the first swimmer to swim 270 meters: time = distance / speed = 270 / 90 = 3 minutes.

Now, let's calculate the distance covered by the second swimmer in 3 minutes: distance = speed * time = 40 * 3 = 120 meters.

The calculated distance of 120 meters matches the distance we obtained using the solution.

Therefore, the solution is verified.

Conclusion

When the first swimmer has swum 270 meters, the second swimmer will have covered a distance of 120 meters in the opposite direction.