Question

Помогите! Хозяин бежит со скоростью 80 м/мин. А собака бежит за хозяином со скоростью 170 м/мин. Через сколько минут собака догонит хозяина, если расстояние между ними 270 метров?

Answer 1

170-80=90 м/мин - с этой скоростью собака догоняет хозяина
270/90=3 мин -
Через столько минут собака догонит хозяина, если расстояние между ними 270 метров

Answer 2

Problem Analysis

We are given that the owner is running at a speed of 80 m/min and the dog is running at a speed of 170 m/min. We need to determine how many minutes it will take for the dog to catch up to the owner, given that the distance between them is 270 meters.

Solution

To solve this problem, we can set up an equation based on the relative speeds of the owner and the dog. The equation is:

Distance = Speed × Time

Let's assume that it takes t minutes for the dog to catch up to the owner. The distance covered by the owner in t minutes is 80t meters, and the distance covered by the dog in t minutes is 170t meters. Since the dog catches up to the owner, the sum of these distances should be equal to the given distance of 270 meters:

80t + 170t = 270

Simplifying the equation:

250t = 270

Solving for t:

t = 270 / 250

Calculating the value of t:

t = 1.08 minutes

Therefore, it will take approximately 1.08 minutes for the dog to catch up to the owner.

Answer

The dog will catch up to the owner in approximately 1.08 minutes.