Question

От станции в направлении посёлка, расстояние до Которого 24 км ,вышел пешеход со скоростью 4км/ч Через 2часа навстречу ему из посёлка выехал велосипедист со скоростью 12 км/ч.Через сколько часов после своего выхода пешеход встретиться с велосипедистом.Всего 5 действий

Answer 1

Problem Analysis

We are given that a pedestrian starts walking from a station towards a village at a speed of 4 km/h. After 2 hours, a cyclist starts riding from the village towards the pedestrian at a speed of 12 km/h. We need to determine how many hours it will take for the pedestrian to meet the cyclist.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's break down the problem into steps:

1. Calculate the distance the pedestrian covers in 2 hours. 2. Calculate the relative speed between the pedestrian and the cyclist. 3. Calculate the time it will take for the pedestrian and the cyclist to meet. 4. Add the time it took for the pedestrian to meet the cyclist to the initial 2 hours. 5. Determine the total time it took for the pedestrian to meet the cyclist.

Let's calculate each step in detail.

Step 1: Calculate the distance the pedestrian covers in 2 hours

The pedestrian's speed is given as 4 km/h, and the time is 2 hours. We can use the formula Distance = Speed × Time to calculate the distance covered by the pedestrian in 2 hours.

Distance = 4 km/h × 2 hours = 8 km

Step 2: Calculate the relative speed between the pedestrian and the cyclist

The cyclist's speed is given as 12 km/h, and they are riding towards the pedestrian. To calculate the relative speed between the pedestrian and the cyclist, we subtract the pedestrian's speed from the cyclist's speed.

Relative Speed = Cyclist's Speed - Pedestrian's Speed = 12 km/h - 4 km/h = 8 km/h

Step 3: Calculate the time it will take for the pedestrian and the cyclist to meet

The distance between the pedestrian and the cyclist is 8 km (calculated in Step 1), and their relative speed is 8 km/h (calculated in Step 2). We can use the formula Time = Distance / Relative Speed to calculate the time it will take for them to meet.

Time = 8 km / 8 km/h = 1 hour

Step 4: Add the time it took for the pedestrian to meet the cyclist to the initial 2 hours

The pedestrian took 1 hour to meet the cyclist (calculated in Step 3). We add this time to the initial 2 hours.

Total Time = Initial Time + Time to Meet = 2 hours + 1 hour = 3 hours

Step 5: Determine the total time it took for the pedestrian to meet the cyclist

The total time it took for the pedestrian to meet the cyclist is 3 hours (calculated in Step 4).

Answer: It will take 3 hours for the pedestrian to meet the cyclist.

Please let me know if I can help you with anything else.