Question

Когда велосипедист выехал из деревни на станцию, пешеход уже находился на расстоянии 2км 400м от деревни. На станцию они прибыли одновременно через 25 мин после выезда велосипедиста. С какой скоростью ехал велосипедист, если скорость пешехода была 6 км/ч?

Answer 1

T=s/v=2,4км/ч/6км/ч=0,4ч
t=0,4ч=24мин
t(полное время пешехода)=24мин+25мин=49мин=0,817ч
S(полное расстояние)=6км/ч×0,817ч=4,9км
V(велосипед)=S(полн.раст)/t(вел)=4,9 км/25мин=4,9км/0,417ч=11,75 км/ч
Ответ:11,75 или 11,7 или же 12.

Answer 2

Problem Analysis

We are given the following information: - A cyclist starts from a village and a pedestrian is already 2 km 400 m away from the village. - They both arrive at a station simultaneously, 25 minutes after the cyclist starts. - The pedestrian's speed is 6 km/h.

We need to find the speed of the cyclist.

Solution

Let's assume the speed of the cyclist is x km/h.

We can calculate the time taken by the cyclist to reach the station using the formula: time = distance / speed.

The distance covered by the cyclist is the sum of the initial distance between the pedestrian and the village (2 km 400 m) and the distance covered by the pedestrian during the 25 minutes.

The distance covered by the pedestrian in 25 minutes can be calculated using the formula: distance = speed * time.

Let's calculate the distance covered by the pedestrian in 25 minutes: - Speed of the pedestrian = 6 km/h - Time = 25 minutes = 25/60 hours

Now, let's calculate the distance covered by the pedestrian: distance = speed * time

Substituting the values: distance = 6 km/h * (25/60) hours

Simplifying: distance = 2.5 km

The total distance covered by the cyclist is the sum of the initial distance (2 km 400 m) and the distance covered by the pedestrian (2.5 km).

Now, let's calculate the time taken by the cyclist to cover this distance: time = distance / speed

Substituting the values: 2 km 400 m + 2.5 km = (2 + 2.5) km = 4.5 km

time = 4.5 km / x km/h

We know that the cyclist and the pedestrian arrive at the station simultaneously, so the time taken by both of them is the same.

Now, let's set up an equation to solve for the speed of the cyclist: 4.5 km / x km/h = 25 minutes = 25/60 hours

Simplifying: 4.5 km / x km/h = 25/60 hours

To solve for x, we can cross-multiply and solve the equation: 4.5 km * 60 hours = x km/h * 25

Simplifying: 270 km = 25x

Now, let's solve for x: x = 270 km / 25

Calculating: x = 10.8 km/h

Therefore, the speed of the cyclist is 10.8 km/h.

Answer

The cyclist was traveling at a speed of 10.8 km/h.