Question

З двоих міст,відстань між якими 18 км, вийшли одночасно назустріч один одному два туристи.Один з них проходив за годину на 2/3 км більше за іншого.З якою швидкістю йшов кожен з них,якщо через 1,2 гол після виходу їм залишилося пройти до зустрічі 6 км? ТЕРМІНОВО! Можна будь ласка для 6 класу

Answer 1

Ответ:

4 2/3 км/год,  5 1/3 км/год.

Пошаговое объяснение:

Нехай швидкість одного туриста х км/год, тоді швидкість іншого х+2/3 км/год.

18-6=12 (км) туристи пройшли за 1,2 год

1,2х км пройшов один турист; 1,2(х+2/3) км пройшов другий турист

1,2х + 1,2(х+2/3) = 12

1,2х + 1,2х + 0,8 = 12

2,4х=11,2;  х=4 2/3

Швидкість одного туриста 4 2/3 км/год, швидкість другого

4 2/3 + 2/3 = 5 1/3 км/год.

Answer 2

Problem Analysis

We have two tourists who start walking towards each other from two different cities. The distance between the cities is 18 km. They start at the same time, and one of them walks 2/3 km more than the other in one hour. After 1.2 hours, they have 6 km left to meet each other. We need to find the speed at which each tourist is walking.

Solution

Let's assume the speed of the first tourist is x km/h and the speed of the second tourist is y km/h.

We know that the first tourist walks 2/3 km more than the second tourist in one hour. This can be expressed as:

x = y + 2/3 We also know that after 1.2 hours, they have 6 km left to meet each other. This can be expressed as:

1.2x + 1.2y = 6 We have two equations with two variables. We can solve this system of equations to find the values of x and y.

Solving the Equations

Let's solve the system of equations using the substitution method.

From equation we can express y in terms of x:

y = x - 2/3

Substituting this value of y in equation we get:

1.2x + 1.2(x - 2/3) = 6

Simplifying the equation:

2.4x - 0.8 = 6

2.4x = 6 + 0.8

2.4x = 6.8

x = 6.8 / 2.4

x = 2.8333...

Now, substituting the value of x back into equation we can find the value of y:

y = 2.8333... - 2/3

y = 2.8333... - 0.6666...

y = 2.1666...

Answer

Therefore, the first tourist is walking at a speed of approximately 2.83 km/h and the second tourist is walking at a speed of approximately 2.17 km/h.

Please note that the values have been rounded for simplicity.

I hope this helps! Let me know if you have any further questions.