Question

Снегурочка доходит от избушки до Большой Ёлки за 18 минут, а Дед Мороз – за 30 минут. Через сколько минут после своего выхода Снегурочка догонит Деда Мороза, если она вышла из избушки через 3 минуты после его ухода

Answer 1

1)40-30=на 10 мин снегурочка приходила первее деда мороза
2)10:5=за 2 минуты догонит деда мороза

Answer 2

Calculation of Time for Snow Maiden and Ded Moroz

To calculate the time it takes for Snow Maiden to catch up with Ded Moroz, we need to consider their individual walking speeds and the time difference between their departures.

According to the given information: - Snow Maiden takes 18 minutes to walk from the hut to the Big Christmas Tree. - Ded Moroz takes 30 minutes to walk from the hut to the Big Christmas Tree.

Snow Maiden leaves the hut 3 minutes after Ded Moroz departs.

To find out when Snow Maiden catches up with Ded Moroz, we need to determine the time it takes for Snow Maiden to cover the distance between them.

Calculation:

Let's assume the distance between the hut and the Big Christmas Tree is D.

Since Snow Maiden walks at a faster pace than Ded Moroz, we can calculate their relative walking speeds.

Snow Maiden's walking speed = D / 18 minutes

Ded Moroz's walking speed = D / 30 minutes

To find the time it takes for Snow Maiden to catch up with Ded Moroz, we need to calculate the time it takes for Snow Maiden to cover the distance between them.

Let's denote the time it takes for Snow Maiden to catch up with Ded Moroz as T.

During the time T, Snow Maiden walks for T + 3 minutes, and Ded Moroz walks for T minutes.

Since they both cover the same distance, we can set up the following equation:

(D / 18) * (T + 3) = (D / 30) * T

Simplifying the equation:

30(D / 18)(T + 3) = 18(D / 30)T

30(T + 3) = 18T

30T + 90 = 18T

30T - 18T = -90

12T = -90

T = -90 / 12

T = -7.5

Since time cannot be negative, we can conclude that Snow Maiden will not catch up with Ded Moroz if she leaves the hut 3 minutes after him.

Therefore, Snow Maiden will not catch up with Ded Moroz.

Note: The given information does not provide enough details to calculate the exact time when Snow Maiden catches up with Ded Moroz. The calculation above assumes constant walking speeds and a linear distance between the hut and the Big Christmas Tree.