Question

Путешественик 3ч ехал на автобусе и 3ч- на поезде,преодолев за это время путь в 390км.найди скорость автобуса,если она втрое меньше скорости поезда

Answer 1

1) 3+3 = 6ч - время, затраченное на весь путь

2) 390 : 6 = 65 км/ч - средняя скорость

3) х - скорость автобуса

    3х - скорость поезда

    х+3х=65*2

     4х = 130

      х = 32,5 км/ч - скорость автобуса

      32,5*3= 97,5 км/ч - скорость поезда

     Проверка:

32,5 км/ч * 3 ч + 97,5 км/ч * 3 ч = 97,5 + 292,5=390

Answer 2

Пусть х - скорость автобуса, тогда 3х - скорость поезда. По условию задачи путешественник ехал 3 ч на автобусе и 3 часа на поезде. Путь составил 390 км. Составляем уравнение.

3х+3х*3=390

3х+9х=390

12х=390

х=32,5

 

Скорость автобуса 32,5 км/ч

Скорость поезда 32,5*3 =97,5 км/ч

Answer 3

Calculation of Bus and Train Speeds

To find the speed of the bus, we need to set up an equation based on the given information. Let's assume the speed of the train is x km/h. According to the problem, the traveler spent 3 hours on the bus and 3 hours on the train, covering a total distance of 390 km.

Let's calculate the speed of the bus:

- Speed of the bus = (1/3) * x km/h

Now, we can set up an equation based on the total distance covered:

- Distance covered by the bus + Distance covered by the train = Total distance - Speed of the bus * Time spent on the bus + Speed of the train * Time spent on the train = Total distance - (1/3) * x * 3 + x * 3 = 390

Simplifying the equation:

- x + 3x = 390 - 4x = 390 - x = 97.5

Therefore, the speed of the train is 97.5 km/h.

Now, let's calculate the speed of the bus:

- Speed of the bus = (1/3) * x - Speed of the bus = (1/3) * 97.5 - Speed of the bus = 32.5 km/h

So, the speed of the bus is 32.5 km/h.

Note: The above calculation assumes that the traveler traveled at a constant speed throughout the journey and there were no other factors affecting the speed.