Question

Два пловца спрыгнули одновременно с лодки и поплыли по реке в противоположных направлениях: первый со скоростью 90м\мин,второй со скоростью 40\мин.Сколько метров проплывёт второй пловец, когда проплывёт 270 м? Решите обратными данными

Answer 1

Второй пловец проплывет 120 м потому что 270:90 будет 3 минуты а 3 минуты умножить на 40 будет 120

Answer 2

Problem Analysis

We have two swimmers who jump simultaneously from a boat and start swimming in opposite directions. The first swimmer swims at a speed of 90 m/min, while the second swimmer swims at a speed of 40 m/min. We need to determine how many meters the second swimmer will have swum when the total distance covered by both swimmers is 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 m/min + 40 m/min = 130 m/min.

We know that the total distance covered by both swimmers is 270 meters. To find out how many meters the second swimmer has swum, we can use the formula:

Distance = Speed × Time

Let's denote the distance covered by the second swimmer as D2 and the time taken as T. We can write two equations based on the distances covered by each swimmer:

D1 + D2 = 270 (since the total distance covered by both swimmers is 270 meters)

D1 = 90 × T (since the first swimmer swims at a speed of 90 m/min)

D2 = 40 × T (since the second swimmer swims at a speed of 40 m/min)

Substituting the values of D1 and D2 in the first equation, we get:

90 × T + 40 × T = 270

Simplifying the equation, we have:

130 × T = 270

Solving for T, we find:

T = 270 / 130 ≈ 2.077 minutes

Now, we can substitute the value of T back into the equations for D1 and D2 to find the distances covered by each swimmer:

D1 = 90 × 2.077 ≈ 186.93 meters

D2 = 40 × 2.077 ≈ 83.08 meters

Therefore, the second swimmer will have swum approximately 83.08 meters when the total distance covered by both swimmers is 270 meters.

Answer

The second swimmer will have swum approximately 83.08 meters when the total distance covered by both swimmers is 270 meters.