Question

Из деревни вышел пешеход а через 2 часа за ним вдогонку отправился велосипедист. через какое время после своего выезда велосипедист догонит пешехода если скорость велосипедиста 10 километров в час а скорость пешехода одна вторая скорости велосипедиста

Answer 1

1) 10:2=5 (км/ч) скорость пешехода
10-5=5(км/ч) скорость сближения
5*2=10(км) расстояние пешехода за 2часа
10:5=2(ч)

Answer 2

10:2=5км/ч скорость пешехода
10-5=5км/ч скорость сближения
5*2=10км прошел пешеход за 2 часа
10:5=2ч.

Answer 3

Problem Analysis

A pedestrian leaves a village on foot, and after 2 hours, a cyclist sets off to catch up with the pedestrian. The cyclist's speed is 10 kilometers per hour, and the pedestrian's speed is half the speed of the cyclist. We need to determine how long it will take for the cyclist to catch up with the pedestrian.

Solution

Let's assume the distance between the village and the point where the cyclist catches up with the pedestrian is D kilometers.

Since the pedestrian has been walking for 2 hours, the distance covered by the pedestrian is 2 times their speed. Let's call the pedestrian's speed Vp. Therefore, the distance covered by the pedestrian is 2 * Vp kilometers.

The cyclist's speed is 10 kilometers per hour, so the distance covered by the cyclist is 10 * Tc kilometers, where Tc is the time it takes for the cyclist to catch up with the pedestrian.

Since the pedestrian's speed is half the speed of the cyclist, we can write the equation: Vp = 0.5 * 10 = 5 kilometers per hour.

Now, we can set up an equation to solve for Tc:

2 * Vp = 10 * Tc

Simplifying the equation:

2 * 5 = 10 * Tc

10 = 10 * Tc

Dividing both sides by 10:

1 = Tc

Therefore, it will take the cyclist 1 hour to catch up with the pedestrian.

Answer

The cyclist will catch up with the pedestrian 1 hour after the cyclist sets off from the village.