Question

прямоугольное дно бассейна, в котором плавают по утрам Витя и его друзья, сложено из 4 равных плит площадью 15 метров квадратных каждая. Длина бассейна 10 метров. Сможет ли Витя за 2 с переплыть этот бассейн по ширине, если каждую секунду он проплывает 2 метра.

Answer 1

Problem Analysis

We are given a rectangular pool with a length of 10 meters and a bottom made up of 4 equal tiles, each with an area of 15 square meters. Vitya wants to swim across the width of the pool, and he swims at a rate of 2 meters per second. We need to determine if Vitya can swim across the pool in 2 seconds.

Solution

To solve this problem, we need to calculate the width of the pool and compare it to the time it takes for Vitya to swim across.

Calculation

The area of each tile is given as 15 square meters, and since there are 4 tiles, the total area of the bottom of the pool is 4 * 15 = 60 square meters.

To find the width of the pool, we can divide the total area by the length of the pool: Width = Total Area / Length = 60 square meters / 10 meters = 6 meters.

Since Vitya swims at a rate of 2 meters per second, we can calculate the time it takes for him to swim across the pool by dividing the width of the pool by his swimming speed: Time = Width / Swimming Speed = 6 meters / 2 meters per second = 3 seconds.

Conclusion

Based on the calculations, it will take Vitya 3 seconds to swim across the width of the pool. Therefore, he will not be able to swim across the pool in 2 seconds.