Question

5. Два грузовика одновременно выехали навстречу друг дру- гу из двух городов, расстояние между которыми 756 км. Один из них проезжал в час на 9 км больше другого. Че- рез 12 час они встретились. Сколько времени нужно каж- дому грузовику, чтобы проехать все расстояние между этими городами? Пж срочно!!!!

Answer 1

Ответ:

Пошаговое объяснение

Пошаговое объяснение:

Пусть скорость одного - х, тогда второго - х + 9.

(х + х + 9) * 12 = 756

2х + 9 = 63; 2x = 54; x = 27

Первый - 756 / 27 = 28 часов;

Второй - 756 / 36 = 21 час.

Answer 2

Problem Analysis

We have two trucks traveling towards each other from two different cities. The distance between the cities is 756 km. One of the trucks is traveling 9 km/h faster than the other. They meet after 12 hours. We need to find the time it takes for each truck to travel the entire distance between the cities.

Solution

Let's assume the speed of the slower truck is x km/h. Therefore, the speed of the faster truck would be (x + 9) km/h.

We know that the distance traveled by each truck is the product of their respective speeds and the time taken. Since they meet after 12 hours, the distance traveled by each truck can be calculated as follows:

- Distance traveled by the slower truck: x km/h * 12 hours - Distance traveled by the faster truck: (x + 9) km/h * 12 hours

Since they meet, the sum of the distances traveled by both trucks should be equal to the total distance between the cities, which is 756 km. Therefore, we can set up the following equation:

x km/h * 12 hours + (x + 9) km/h * 12 hours = 756 km

Now, we can solve this equation to find the value of x.

Calculation

Let's solve the equation:

x * 12 + (x + 9) * 12 = 756

Simplifying the equation:

12x + 12x + 108 = 756

Combining like terms:

24x + 108 = 756

Subtracting 108 from both sides:

24x = 648

Dividing both sides by 24:

x = 27

Therefore, the speed of the slower truck is 27 km/h and the speed of the faster truck is 27 + 9 = 36 km/h.

Answer

To find the time it takes for each truck to travel the entire distance between the cities, we can divide the distance by the speed of each truck:

- Time taken by the slower truck: 756 km / 27 km/h - Time taken by the faster truck: 756 km / 36 km/h

Calculating the times:

- Time taken by the slower truck: 28 hours - Time taken by the faster truck: 21 hours

Therefore, the slower truck takes 28 hours and the faster truck takes 21 hours to travel the entire distance between the cities.

Please note that these calculations assume constant speeds for both trucks throughout the journey.

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