Question

С двух станций , расстояние между которыми равно 20,8 км, в одном направлении одновременно отправились два поезда . Впереди шел поезд со скоростью 54,6 км/ч .Через 5 ч после начала вижения его догнал второй поезд . Найдите скорость второго поезда.ОТВЕТ ДОЛЖЕН БЫТЬ 58,76КМ В ЧАС*

Answer 1

1)20,8/5=4,16 - разница в скорости
2)54,6+4,16=58,76 км/ч

Answer 2

54,6*5=273 км прошел за 5 часов 2 поезд                                                          273+20,8=293,8 км расстояния между поездами                                                293,8:5=58,76 км/час скорость 2 поезда

Answer 3

Problem Analysis

We are given two trains that start simultaneously from two stations that are 20.8 km apart. The first train is traveling at a speed of 54.6 km/h. After 5 hours, the second train catches up to the first train. We need to find the speed of the second train.

Solution

Let's assume the speed of the second train is x km/h.

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

The distance traveled by the first train in 5 hours is: 54.6 km/h × 5 h = 273 km.

Since the second train catches up to the first train, the distance traveled by the second train in 5 hours is also 273 km.

The total distance between the two stations is 20.8 km. Therefore, the remaining distance that the second train needs to cover to catch up to the first train is: 20.8 km - 273 km = -252.2 km.

Since the second train is traveling in the same direction as the first train, its relative speed is the difference between their speeds: 54.6 km/h - x km/h.

Using the formula distance = speed × time, we can set up the following equation:

-252.2 km = (54.6 km/h - x km/h) × 5 h

Simplifying the equation, we get:

-252.2 km = 273 km - 5x km

Solving for x, we find:

x = (273 km + 252.2 km) / 5 h

x = 525.2 km / 5 h

x = 105.04 km/h

Therefore, the speed of the second train is 105.04 km/h.

Answer

The speed of the second train is 105.04 km/h.