Question

Пешеход и велосепидист отправились одновременно навстречу друг другу из двух пунктов расстояние между которыми 24 км. Скорость пешехода 4км/ч , а велосипедиста 12км/ч. Какое расстояние проедет велосипедист до встречи с пешеходом?

Answer 1

1) 4+12=16 км - за 1 час пройдет пешеход и проедет велосипедист вместе
2) 24/16=1,5 часа - они встретятся
3) 12*1,5=18 км - проедет велосипедист до встречи с пешеходом

Answer 2

Problem Analysis

We are given that a pedestrian and a cyclist start simultaneously from two different points and move towards each other. The distance between the two points is 24 km. The pedestrian's speed is 4 km/h, and the cyclist's speed is 12 km/h. We need to find the distance the cyclist will travel before meeting the pedestrian.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's assume that the time taken for the cyclist to meet the pedestrian is t hours.

Since the pedestrian and the cyclist are moving towards each other, their combined speed is the sum of their individual speeds. Therefore, the combined speed is 4 km/h + 12 km/h = 16 km/h.

We can set up the following equation to find the time taken for the cyclist to meet the pedestrian:

distance = speed × time

Substituting the values we have:

24 km = 16 km/h × t

Simplifying the equation:

t = 24 km / 16 km/h

t = 1.5 hours

Therefore, the cyclist will travel for 1.5 hours before meeting the pedestrian.

To find the distance traveled by the cyclist, we can use the formula:

distance = speed × time

Substituting the values we have:

distance = 12 km/h × 1.5 hours

distance = 18 km

Therefore, the cyclist will travel 18 km before meeting the pedestrian.

Answer

The cyclist will travel 18 km before meeting the pedestrian.

Explanation

When the pedestrian and the cyclist start simultaneously from two different points and move towards each other, the cyclist will travel a distance of 18 km before meeting the pedestrian. This is calculated by multiplying the cyclist's speed of 12 km/h by the time taken to meet the pedestrian, which is 1.5 hours.