Question

Вадим догоняет Серёжу. Сейчас между ними А м. Вадим бежит со скоростью B м/мин, а Серёжа - со скоростью С м/мин (B>C). Как и с какой скоростью меняется расстояние между мальчиками? На каком расстояние друг от друга окажутся они через 1 мин, 2 мин, 3 мин, 4 мин, t мин? Через сколько минут Вадим догонит Серёжу?

Answer 1

В-С м/мин - скорость сближения
А/(В-С)-с такой скоростью меняется расстояние между мальчиками
А=(В-С)*1 - м расстояние через 1 мин
А=(В-С)*2 - м расстояние через 2 мин
А=(В-С)*3 - м расстояние через 3 мин
А=(В-С)*4 - м расстояние через 4 мин
А=(В-С)*t - м расстояние через t мин

Answer 2

To answer your question, let's break it down step by step.

Given Information:

- Vadim is chasing Sergey. - Currently, there is a distance of A meters between them. - Vadim is running at a speed of B m/min. - Sergey is running at a speed of C m/min, where B > C.

Changing Distance between Vadim and Sergey:

The distance between Vadim and Sergey will change based on their speeds. Since Vadim is running faster than Sergey, the distance between them will decrease over time.

To determine how the distance changes, we need to consider their relative speeds. The relative speed is the difference between their speeds, which in this case is (B - C) m/min.

Distance after a Given Time:

To calculate the distance between Vadim and Sergey after a certain amount of time, we can use the formula:

Distance = Initial Distance - (Relative Speed * Time)

Let's calculate the distances after 1 minute, 2 minutes, 3 minutes, 4 minutes, and t minutes:

- After 1 minute: Distance = A - ((B - C) * 1) meters - After 2 minutes: Distance = A - ((B - C) * 2) meters - After 3 minutes: Distance = A - ((B - C) * 3) meters - After 4 minutes: Distance = A - ((B - C) * 4) meters - After t minutes: Distance = A - ((B - C) * t) meters

Time for Vadim to Catch Sergey:

To determine how long it will take for Vadim to catch Sergey, we need to find the time when the distance between them becomes zero. In other words, we need to solve the equation:

A - ((B - C) * t) = 0

Simplifying the equation, we get:

t = A / (B - C)

This formula gives us the time it will take for Vadim to catch Sergey.

Please note that these calculations assume constant speeds for both Vadim and Sergey throughout the chase.

I hope this explanation helps! Let me know if you have any further questions.