Question

Коты Барсик и Васька обедают вместе с котенком Кузей. Барсик ест вдвое быстрее Васьки, а Васька вдвое быстрее Кузи. Кузе далди 6 малеьнких рыбок, а \барсику и Ваське по 12 таких же рыбок. Басрик съел свою порцию за 3 минуты, а затем помог Ваське закончить обед. псоле этого они стали ждать когда же сос воей порцией справится Кузя. сколько времени они ждали?

Answer 1

Быстрее всех ест Барсик, в 2 раза медленнее Васька, еще в 2 раза медленнее Кузя.
Барсик съел свою порцию (12 рыбок) за 3 минуты:
12:3=4 рыбки в минуту - скорость потребления Барсика
4:2=2 рыбки в минуту - скорость потребления Васьки
2:1=1 рыбка в минуту - скорость потребления Кузи

Барсик съел свою порцию за 3 минуты, за это время Васька съел:
3х2=6 рыбок
у него осталось 6 рыбок, которые они стали есть вместе с Барсиком:
4+2=6 - скорость потребления Васьки и Барсика вместе
оставшиеся 6 рыбок вместе они съедят за:
6:6=1 минуту

К этому времени пройдет:
3+1=4 минуты

За это время Кузя съест 4х1=4 рыбки
У него останется 6-4=2 рыбки
Чтобы их доесть, ему понадобится дополнительно
2:1=2 минуты

Ответ: 2 мин будут ждать, пока доест Кузя

Answer 2

Problem Analysis

We are given that three cats, Barsik, Vaska, and Kuzya, are having a meal together. Barsik eats twice as fast as Vaska, and Vaska eats twice as fast as Kuzya. We are also given that Kuzya ate 6 small fish, while Barsik and Vaska each ate 12 of the same small fish. Barsik finished his portion in 3 minutes and then helped Vaska finish his portion. We need to determine how long they waited for Kuzya to finish his portion.

Solution

To solve this problem, we need to find the relative eating speeds of the cats and calculate the time it takes for each cat to finish their portion of fish.

Let's start by assigning variables to the eating speeds of the cats: - Let the eating speed of Kuzya be x (in minutes per fish). - Since Barsik eats twice as fast as Vaska, let Vaska's eating speed be 2x. - Since Vaska eats twice as fast as Kuzya, let Barsik's eating speed be 4x.

Now, let's calculate the time it takes for each cat to finish their portion of fish: - Kuzya ate 6 fish, so it would take him 6x minutes to finish his portion. - Barsik and Vaska each ate 12 fish, so it would take them 12(4x) = 48x minutes to finish their portions.

We are given that Barsik finished his portion in 3 minutes and then helped Vaska finish his portion. Therefore, the total time it took for Barsik and Vaska to finish their portions is 3 minutes plus the time it took Vaska to finish his portion.

Let's calculate the time it took Vaska to finish his portion: - Vaska's eating speed is 2x, and he ate 12 fish, so it would take him 12(2x) = 24x minutes to finish his portion.

Therefore, the total time it took for Barsik and Vaska to finish their portions is 3 minutes plus 24x minutes.

Now, we need to determine how long they waited for Kuzya to finish his portion. Since Kuzya took 6x minutes to finish his portion, the total time they waited is the difference between the time it took for Barsik and Vaska to finish their portions and the time it took Kuzya to finish his portion.

Let's calculate the total waiting time: - Total waiting time = (3 + 24x) - 6x = 3 + 18x minutes.

Therefore, they waited for 3 + 18x minutes for Kuzya to finish his portion.

Answer

They waited for 3 + 18x minutes for Kuzya to finish his portion.

Note: To determine the exact waiting time, we would need to know the value of x (the eating speed of Kuzya in minutes per fish).