Question

Из деревни вышел пешеход ,а через 2 часа в том же направление выехал велосипедист.Скорость велосипедиста 10км/ч а скорость пешехода 5км/ч. Через сколько часов велосипедист догонит пешехода ?

Answer 1

1)5*2=10(км)-расстояние,которое необходимо сократить велосипедисту.

2)10-5=5(км/ч)-разница скоростей

3)10:5= через 2 часа после своего выезда велосипедист догонит пешехода

Answer 2

Problem Analysis

We are given that a pedestrian leaves a village on foot, and after 2 hours, a cyclist leaves in the same direction. The cyclist's speed is 10 km/h, while the pedestrian's speed is 5 km/h. We need to determine how many hours 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 "t" hours for the cyclist to catch up to the pedestrian.

The distance covered by the pedestrian in "t" hours is given by the formula: distance = speed × time. Therefore, the distance covered by the pedestrian is 5t km.

The distance covered by the cyclist in "t" hours is given by the formula: distance = speed × time. Therefore, the distance covered by the cyclist is 10t km.

Since the cyclist catches up to the pedestrian, the distances covered by both of them must be equal. Therefore, we can set up the equation:

5t = 10t

Simplifying the equation, we get:

10t - 5t = 0

5t = 0

t = 0

The solution to the equation is t = 0. This means that the cyclist catches up to the pedestrian instantly or at the same time they start their journey.

Therefore, the cyclist will catch up to the pedestrian immediately or after 0 hours.

Answer

The cyclist will catch up to the pedestrian immediately or after 0 hours.