Question

Длина туристического маршрута равна 400 км. Турист ехал 3ч поездом cо скоростью a км/ч и 2 ч со скоростью равной 2/3 скорости поезда. 3a сколько часов он пройдет остаток пути, идя со скоростью 5 км/ч?Вычислите время затраченное на весь маршрут, если: 1)а= 7Ты 5 2)а= 60 3)а=66 4)а=78 Помогите Пожалуйста!

Answer 1

1) 3×75=225 км проехал поездом за три часа
75÷$\frac{2}{3}$=50 км/ч -2/3 скорости поезда
50×2=100 км проехал поездом за два часа
400-225-100=75 км остаток пути
75÷5=15 часов на остаток пути пешком
15+3+2=20 часов на весь путь

2) 3×60=180 км проехал поездом за три часа
60÷$\frac{2}{3}$=40 км/ч -2/3 скорости поезда
40×2=80 км проехал поездом за два часа
400-180-80=140 км остаток пути
140÷5=28 часов на остаток пути пешком
28+3+2=33 часа на весь путь

ну 3),4) нужно сделать по аналогии поставив нужную скорость поезда

Answer 2

Calculation of Time Taken for the Remaining Distance

To calculate the time taken for the remaining distance, we need to determine the distance covered by the tourist in the first part of the journey and the remaining distance.

Let's assume the distance covered in the first part of the journey is x km. Since the total length of the tourist route is 400 km, the remaining distance is 400 - x km.

According to the given information, the tourist traveled for 3 hours on the train with a speed of a km/h and 2 hours with a speed equal to 2/3 of the train's speed.

The formula to calculate the distance covered is:

Distance = Speed × Time

Using this formula, we can calculate the distance covered in the first part of the journey:

x = a × 3 We can also calculate the distance covered in the second part of the journey:

2/3 × a × 2

Now, we can calculate the remaining distance:

Remaining Distance = Total Distance - Distance Covered

Remaining Distance = 400 - (x + 2/3 × a × 2)

To find the time taken to cover the remaining distance at a speed of 5 km/h, we can use the formula:

Time = Distance / Speed

Substituting the values, we get:

Time = Remaining Distance / 5

Simplifying the equation, we have:

Time = (400 - (x + 2/3 × a × 2)) / 5

Now, let's calculate the time taken for the remaining distance for different values of a:

1) For a = 7: - Calculate the distance covered in the first part of the journey using the formula: x = a × 3 - Calculate the remaining distance: Remaining Distance = 400 - (x + 2/3 × a × 2) - Calculate the time taken for the remaining distance: Time = (400 - (x + 2/3 × a × 2)) / 5

2) For a = 60: - Calculate the distance covered in the first part of the journey using the formula: x = a × 3 - Calculate the remaining distance: Remaining Distance = 400 - (x + 2/3 × a × 2) - Calculate the time taken for the remaining distance: Time = (400 - (x + 2/3 × a × 2)) / 5

3) For a = 66: - Calculate the distance covered in the first part of the journey using the formula: x = a × 3 - Calculate the remaining distance: Remaining Distance = 400 - (x + 2/3 × a × 2) - Calculate the time taken for the remaining distance: Time = (400 - (x + 2/3 × a × 2)) / 5

4) For a = 78: - Calculate the distance covered in the first part of the journey using the formula: x = a × 3 - Calculate the remaining distance: Remaining Distance = 400 - (x + 2/3 × a × 2) - Calculate the time taken for the remaining distance: Time = (400 - (x + 2/3 × a × 2)) / 5

Let's calculate the time taken for the remaining distance for each value of a.