Question

Из двух пунктов, расстояние между котопыми 7 км 500м, одновременно в одном направлении вышел пешеход со скоростью 6 км/ч и выехал автобус. определите скорость автобуса, если он догнал пешихода за 15 мин

Answer 1

15 мин = 0,25 ч
7 км 500 м = 7,5 км
0,25 * 6 = 1,5 (км) - прошел пешеход за 15 минут.
7,5 + 1,5 = 9 (км) - всего проехал автобус.
9 : 0,25 = 36 (км/ч) - скорость автобуса.
Ответ: 36 км/ч.

Answer 2

Problem Analysis

We are given that the distance between two points is 7 km 500 m. A pedestrian starts walking at a speed of 6 km/h in one direction, and at the same time, a bus starts moving towards the pedestrian. We need to determine the speed of the bus if it catches up to the pedestrian in 15 minutes.

Solution

To solve this problem, we can use the formula: Speed = Distance / Time.

Let's calculate the time it takes for the bus to catch up to the pedestrian. We are given that the time is 15 minutes, which we need to convert to hours. Since 1 hour is equal to 60 minutes, 15 minutes is equal to 15/60 = 0.25 hours.

Now, let's calculate the distance covered by the pedestrian in 0.25 hours. The speed of the pedestrian is given as 6 km/h, so the distance covered is 6 km/h * 0.25 h = 1.5 km.

Since the bus catches up to the pedestrian, the distance covered by the bus is equal to the distance covered by the pedestrian. Therefore, the speed of the bus is equal to the distance covered by the bus divided by the time taken.

Let's calculate the speed of the bus:

Speed of the bus = Distance covered by the bus / Time taken

Speed of the bus = 1.5 km / 0.25 h

Speed of the bus = 6 km/h

Therefore, the speed of the bus is 6 km/h.

Answer

The speed of the bus is 6 km/h.