Question

Из двух пунктов,расстояние между которыми 7 киллометров 500 метров,одновременно в одном напровлении вышел пешиход со скоростью 6 км в час и выехал автобус.Определите скорость автобуса,если он догнал пешихода через 15 минут?

Answer 1

1)60/15=4 (раза) - в 1 часе по 15 минут

2)6000:4=1500 (м) - расстояние, которое прошёл пешеход

3) 7500+1500=9000 (м) -  расстояние, которое проехал автобус

4) 9X4=36 (км/ч) - скорость автобуса

Ответ: 36 км/ч

Answer 2

1) 60:15=4 (р.) - в 1 часе по 15 минут

2) 6 км=6000 м

6000:4=1500 (м) - прошёл пешеход за 15 минут

3) 7 км 500 м=7500 м

7500+1500=9000 (м) - проехал автобус за 15 минут

4) 9000 м=9 км

9*4=36 (км) - проедет автобус за 1 час, то есть его скорость 36 км/ч

Ответ: скорость автобуса 36 километров в час.

Answer 3

Problem Analysis

We are given that the distance between two points is 7 kilometers and 500 meters. A pedestrian starts walking from one point with a speed of 6 km/h, and at the same time, a bus starts driving 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: distance = speed × time.

Let's assume the speed of the bus is v km/h.

The pedestrian walks for 15 minutes, which is equivalent to 15/60 = 0.25 hours.

The distance covered by the pedestrian is given by: distance_pedestrian = speed_pedestrian × time_pedestrian.

Substituting the given values, we have: distance_pedestrian = 6 km/h × 0.25 h.

The distance covered by the bus is given by: distance_bus = speed_bus × time_bus.

Since the bus catches up to the pedestrian, the distances covered by both the pedestrian and the bus are equal. Therefore, we have: distance_pedestrian = distance_bus.

Substituting the given values and the calculated distance for the pedestrian, we can solve for the speed of the bus.

Calculation

Let's calculate the speed of the bus using the given information.

- Distance between the two points: 7 kilometers and 500 meters. - Speed of the pedestrian: 6 km/h. - Time walked by the pedestrian: 15 minutes = 0.25 hours.

Using the formula distance = speed × time, we can calculate the distance covered by the pedestrian:

distance_pedestrian = speed_pedestrian × time_pedestrian.

Substituting the values, we have:

distance_pedestrian = 6 km/h × 0.25 h.

Simplifying the calculation, we get:

distance_pedestrian = 1.5 kilometers.

Since the distance covered by the bus is equal to the distance covered by the pedestrian, we have:

distance_bus = 1.5 kilometers.

Now, we can use the formula distance = speed × time to calculate the speed of the bus:

distance_bus = speed_bus × time_bus.

Substituting the values, we have:

1.5 kilometers = speed_bus × 0.25 hours.

Simplifying the calculation, we get:

speed_bus = 1.5 kilometers / 0.25 hours.

Calculating the speed of the bus, we find:

speed_bus = 6 kilometers per hour.

Answer

Therefore, the speed of the bus is 6 kilometers per hour.