Question

ДОМАШНЕЕ ЗАДАНИЕ 9 Выполни задание. - - Расстояние между двумя лыжниками, одновременно начавшими движение в одном направлений по ровной заснеженной сте- пи — 700 м. Скорость идущего позади лыжника — 200 м/мин. Через какое время он догонит Идуще- го впереди СО СКО- ростью 150 м/мин? (УРАВНЕНИЕМ ) ПЖЖЖЖЖЖЖЖЖ СРОЧНО ​

Answer 1

Ответ:

1)200-150=50( м/мин) скорость в догонку

2)700÷50=14(мин) время встречи

Answer 2

Solving the Distance Problem Using Equations

To solve the problem of the distance between two skiers, we can use the equation \( \text{distance} = \text{speed} \times \text{time} \). In this case, we have two skiers moving in the same direction, and we want to find out when one skier will catch up to the other.

Calculating the Time to Catch Up

Let's denote: - \( d \) as the initial distance between the skiers (700 m) - \( v_1 \) as the speed of the skier in front (150 m/min) - \( v_2 \) as the speed of the skier behind (200 m/min) - \( t \) as the time it takes for the skier behind to catch up to the skier in front

Using the equation \( \text{distance} = \text{speed} \times \text{time} \), we can set up the following equation to solve for \( t \):

\[ d = (v_1 - v_2) \times t \]

Substituting the given values: \[ 700 = (150 - 200) \times t \]

Solving for \( t \): \[ t = \frac{700}{(200 - 150)} \]

\[ t = \frac{700}{50} \]

\[ t = 14 \text{ minutes} \]

The skier behind will catch up to the skier in front in 14 minutes.