Question

Найденный кусочек сыра большая мышь может сьесть за 5 минут, средняя мышь - за 10 минут, а маленькой мышке для этого понадобится 30 минут. За какое время мыши сьедят кусочек сыра вместе ? Помогите решить плз

Answer 1

Скорость первой
1/5 сыр/мин
второй
1/10 сыр/мин
третей
1/30 сыр мин
ссумируем
1/5+1/10+1/30=(1*6+1*3+1)/30=10/30=1/3 сыра в мин
на один сыр они потратят
1:1/3=3 минуты

Answer 2

[ не правильный ответ ]

Answer 3

Problem Analysis

We are given that a large mouse can eat a piece of cheese in 5 minutes, a medium mouse can eat it in 10 minutes, and a small mouse can eat it in 30 minutes. We need to determine how long it will take for all three mice to eat the cheese together.

Solution

To solve this problem, we can find the rate at which each mouse eats the cheese and then add up their rates to find the combined rate. Finally, we can use the combined rate to calculate the time it will take for all three mice to eat the cheese.

Let's calculate the rates at which each mouse eats the cheese:

- The large mouse eats the cheese in 5 minutes, so its eating rate is 1/5 of the cheese per minute. - The medium mouse eats the cheese in 10 minutes, so its eating rate is 1/10 of the cheese per minute. - The small mouse eats the cheese in 30 minutes, so its eating rate is 1/30 of the cheese per minute.

Now, let's add up the rates of all three mice to find the combined rate:

Combined rate = 1/5 + 1/10 + 1/30

To add these fractions, we need to find a common denominator, which in this case is 30:

Combined rate = 6/30 + 3/30 + 1/30 = 10/30

Simplifying the fraction, we get:

Combined rate = 1/3

This means that the three mice together can eat 1/3 of the cheese per minute.

To find the time it will take for all three mice to eat the cheese, we can use the formula:

Time = Amount / Rate

In this case, the amount of cheese is 1 (since we are considering the whole piece of cheese), and the rate is 1/3 (as calculated above).

Time = 1 / (1/3) = 3 minutes

Therefore, it will take all three mice together 3 minutes to eat the piece of cheese.

Answer

The three mice will eat the piece of cheese together in 3 minutes.