Question

Через 15 минут после того,как из поселка вышел пешеход,вслед за ним выехал велосипедист.Сколько времени потребуется велосипедисту догнать пешехода,если он едет со скоростью 200 м/мин,а пешеход за 1 минуту проходит 80 метров?

Answer 1

путь проденный/проеденный равен

t - время затраченное велосипедистом, догнать пешехода

пешеход шел t + 15 минут, когда его догнал велосипедист

 

t * 200 = (t + 15)  * 80

t*200 - t*80 = 15*80

 

120*t = 1200

 

t = 10 минут потребуется велосипедсту, чтобы догнать пешехода

Answer 2

Problem Analysis

We are given that a pedestrian walks at a speed of 80 meters per minute, and a cyclist starts riding 15 minutes after the pedestrian. The cyclist rides at a speed of 200 meters per minute. We need to determine how much time it will take for the cyclist to catch up to the pedestrian.

Solution

To solve this problem, we can set up an equation based on the relative speeds of the cyclist and the pedestrian. Let's assume that it takes the cyclist t minutes to catch up to the pedestrian.

The distance traveled by the pedestrian in t minutes is 80t meters, and the distance traveled by the cyclist in t minutes is 200t meters. Since the cyclist catches up to the pedestrian, the distances traveled by both must be equal.

Setting up the equation: 80t = 200t

Simplifying the equation: 200t - 80t = 0 120t = 0 t = 0

The equation simplifies to 120t = 0, which means that t = 0. This implies that the cyclist catches up to the pedestrian instantly, or at the same moment the cyclist starts riding.

Therefore, the cyclist will catch up to the pedestrian immediately after starting to ride.

Answer

The cyclist will catch up to the pedestrian immediately after starting to ride.