Question

СРОЧНО !! пешеход вышел из пункта а одновременно с ним из пункта б выехал велосипедист. через 15 минут они встретились, а ещё через 9 мин велосипедист приехал в пункт а. за сколько пешеход проходит расстояние от а до б?

Answer 1

Calculation of the Distance Traveled by the Pedestrian

To calculate the distance traveled by the pedestrian from point A to point B, we need to consider the information provided in the question.

According to the question, the pedestrian and the cyclist left points A and B simultaneously. After 15 minutes, they met, and 9 minutes later, the cyclist arrived at point A.

Let's assume that the pedestrian's speed is x and the cyclist's speed is y. Since they traveled for the same amount of time, we can set up the following equation:

Distance traveled by the pedestrian = Distance traveled by the cyclist

To calculate the distance traveled by each person, we can use the formula:

Distance = Speed × Time

Let's denote the distance from point A to the meeting point as d. Since the pedestrian traveled for 15 minutes before reaching the meeting point, the time traveled by the pedestrian is 15 minutes, or 15/60 hours. Similarly, the time traveled by the cyclist is 24 minutes, or 24/60 hours.

Using the formula Distance = Speed × Time, we can set up the following equations:

Equation 1: x × (15/60) = d (distance traveled by the pedestrian) Equation 2: y × (24/60) = d (distance traveled by the cyclist)

We also know that the cyclist arrived at point A 9 minutes after the meeting. Therefore, the total time traveled by the cyclist is 24 minutes + 9 minutes = 33 minutes, or 33/60 hours.

Using the formula Distance = Speed × Time, we can set up another equation:

Equation 3: y × (33/60) = d (distance traveled by the cyclist)

To find the distance traveled by the pedestrian, we can substitute Equation 2 into Equation 1:

x × (15/60) = y × (24/60)

Simplifying the equation, we get:

x = (y × 24) / 15

Now, we can substitute this value of x into Equation 3 to find the distance traveled by the pedestrian:

(y × 24) / 15 × (15/60) = y × (33/60)

Simplifying the equation, we get:

y = (33 × 60) / 24

Now, we can substitute this value of y into Equation 2 to find the distance traveled by the cyclist:

(33 × 60) / 24 × (24/60) = d

Simplifying the equation, we get:

d = 33

Therefore, the distance traveled by the pedestrian from point A to point B is 33 meters.

Please note that the above calculations are based on the information provided in the question.