Question

Гарри Потер идет от Хогвартса до Хогсмита 30 мин,а Гермиона Грейнджер-40 минут.Через сколько минут Гарри догонит Гермиону,если она вышла на пять минут раньше него??

Answer 1

Через 5 мин.40-30=10. 10-5=5

Answer 2

Problem Analysis

We are given that Harry Potter takes 30 minutes to walk from Hogwarts to Hogsmeade, while Hermione Granger takes 40 minutes. Hermione starts her walk 5 minutes before Harry. We need to determine how long it will take for Harry to catch up to Hermione.

Solution

To solve this problem, we can set up an equation based on the given information. Let's assume that it takes x minutes for Harry to catch up to Hermione.

Since Hermione starts her walk 5 minutes before Harry, when Harry starts walking, Hermione has already been walking for 5 minutes. Therefore, when Harry catches up to Hermione, he would have been walking for x minutes, and Hermione would have been walking for x + 5 minutes.

We can set up the following equation to represent the distance traveled by both Harry and Hermione:

Distance traveled by Harry = Distance traveled by Hermione

Since the speed of walking is constant, we can use the formula: distance = speed × time.

For Harry: Distance = Speed × Time Distance = 1 × 30 (Harry's speed is 1 unit per minute, and he walks for 30 minutes)

For Hermione: Distance = Speed × Time Distance = 1 × 40 (Hermione's speed is 1 unit per minute, and she walks for 40 minutes)

Setting the two distances equal to each other, we get: 30 = (x + 5) × 1

Simplifying the equation: 30 = x + 5

Now, we can solve for x: x = 30 - 5 x = 25

Therefore, it will take Harry 25 minutes to catch up to Hermione.

Answer

Harry will catch up to Hermione in 25 minutes.

Source:

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