Question

Винни-Пух и Пятачок вышли из своих домиков навстречу друг другу и встретились через 2 ч 40 мин.Винни-Пух может пройти всё расстояние между домиками за 8 ч.За сколько времени может пройти это расстояние Пятачок? Желательно решить по действиям и с пояснениями. Заранее спасибо.

Answer 1

Скорость винни-пуха - х км\ч
скорость пятачка - у км ч
скорость сближения х+у км/ч
2 ч 40 мин = 160 мин
Значит расстояние между домами они прошли (х+у)*160
8 ч = 480 мин
И расстояние между домами он один пройдет за х*480
160х+160у=480х
160у=320х
у=2х
Значит скорость пятачка в два раза больше скорости винни-пуха
Значит расстояние между домиками он пройдет за 8/2=4 часа

Answer 2

Problem Analysis

We are given that Winnie-the-Pooh and Piglet leave their houses to meet each other and they meet after 2 hours and 40 minutes. It is also mentioned that Winnie-the-Pooh can cover the entire distance between the houses in 8 hours. We need to find out how long it would take Piglet to cover the same distance.

Solution

Let's assume the distance between the houses is d.

We are given that Winnie-the-Pooh can cover the distance d in 8 hours. Therefore, his speed can be calculated as d/8.

We are also given that Winnie-the-Pooh and Piglet meet after 2 hours and 40 minutes, which is equivalent to 2.67 hours.

Let's assume Piglet's speed is x.

Since both Winnie-the-Pooh and Piglet are traveling towards each other, their combined speed will be the sum of their individual speeds.

According to the formula: Speed = Distance / Time, we can write the equation:

d/8 + x = d/2.67

Now, we can solve this equation to find the value of x, which represents Piglet's speed.

Calculation

Let's solve the equation to find the value of x:

d/8 + x = d/2.67

Multiplying both sides of the equation by 8 * 2.67 to eliminate the denominators:

2.67d + 8x = 8d

Rearranging the equation:

8x = 8d - 2.67d

8x = 5.33d

Dividing both sides of the equation by 8:

x = 5.33d / 8

Therefore, Piglet's speed is 5.33d / 8.

Since speed is equal to distance divided by time, we can rearrange the equation to find the time taken by Piglet to cover the distance d:

Time = Distance / Speed

Substituting the value of Piglet's speed:

Time = d / (5.33d / 8)

Simplifying the equation:

Time = 8 / 5.33

Calculating the value:

Time = 1.5 hours

Therefore, it would take Piglet 1.5 hours to cover the distance between the houses.

Answer

Piglet would take 1.5 hours to cover the distance between the houses.