Question

Фрекен Бон съедает торт за полчаса, Малыш - за 60 минут, Карлсон - за 5 минут. За какое время они съедят торт вместе?

Answer 1

Примем объем торта за 1.
Полчаса - это 30 минут.
1 : 30 = 1/30 (торта) - съедает Фрекен Бок за 1 минуту.
1 : 60 = 1/60 (торта) - съедает Малыш за 1 минуту.
1 : 5 = 1/5 (торта) - съедает Карлсон за 1 минуту.
1/30 + 1/60 + 1/5 = 2/60 + 1/60 + 12/60 = 15/60 = 1/4 (торта) - съедают Фрекен Бок, Малыш и Карлсон вместе за 1 минуту.
1 : 1/4 = 4 (мин) - время, за которое они съедят торт вместе.
Ответ: 4 минуты.

Answer 2

Calculation of Time Taken to Eat the Cake

To calculate the time taken for Fräulein Bon, Malish, and Karlsson to eat the cake together, we need to find the least common multiple (LCM) of the times it takes each of them to eat the cake individually.

According to the information provided: - Fräulein Bon takes 30 minutes to eat the cake. - Malish takes 60 minutes to eat the cake. - Karlsson takes 5 minutes to eat the cake.

To find the LCM, we can list the multiples of each time and find the smallest number that appears in all three lists.

Multiples of 30 minutes: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, ... Multiples of 60 minutes: 60, 120, 180, 240, 300, ... Multiples of 5 minutes: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, ...

From the lists above, we can see that the smallest number that appears in all three lists is 60 minutes.

Therefore, it will take Fräulein Bon, Malish, and Karlsson 60 minutes to eat the cake together.