Question

3 міста М до міста N. відстань між якими 14 км, ви- йшов пішохід зі швидкістю 4 км/год. Через 1,5 год на- зустріч йому з міста / виїхала велосипедистка, швид кість якої 12 км/год. На якій відстані від міста N пішохід і велосипедистка зустрілися? срочно, дам 45 баллов!

Answer 1

Ответ:

6 км

Пошаговое объяснение:

1) 1,5 * 4 = 6 (км) - прошел пешеход до того как выехала велосипедистка

2) 14 - 6 = 8 (км) - расстояние между пешеходом и велосипедисткой

3) 4 + 12 = 16 (км/ч) - скорость сближения пешехода и велосипедистки

4) 8 : 16 = 0,5 (часа) - они встретятся

5) 12 * 0,5 = 6 (км) - проедет за это время велосипедистка, значит они встретятся на этом же расстоянии от города N

Answer 2

Problem Analysis

We are given that a pedestrian walks from city M to city N at a speed of 4 km/h, and the distance between the two cities is 14 km. After 1.5 hours, a cyclist leaves city N and rides towards the pedestrian at a speed of 12 km/h. We need to determine the distance from city N where the pedestrian and the cyclist meet.

Solution

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

Let's calculate the distance traveled by the pedestrian after 1.5 hours: Distance_pedestrian = speed_pedestrian × time = 4 km/h × 1.5 h = 6 km.

Now, let's calculate the distance remaining between the pedestrian and city N: Distance_remaining = distance_between_cities - Distance_pedestrian = 14 km - 6 km = 8 km.

Since the cyclist is traveling towards the pedestrian, their combined speed is the sum of their individual speeds: Combined_speed = speed_pedestrian + speed_cyclist = 4 km/h + 12 km/h = 16 km/h.

Finally, we can calculate the time it takes for the cyclist to cover the remaining distance and meet the pedestrian: Time_cyclist = Distance_remaining / Combined_speed = 8 km / 16 km/h = 0.5 hours.

Therefore, the pedestrian and the cyclist will meet after 0.5 hours, which is equivalent to 30 minutes.

To find the distance from city N where they meet, we can use the formula: Distance_meeting = speed_cyclist × Time_cyclist = 12 km/h × 0.5 h = 6 km.

So, the pedestrian and the cyclist will meet at a distance of 6 km from city N.

Answer

The pedestrian and the cyclist will meet at a distance of 6 km from city N.