Question

Два грузовика выехали одновременно навстречу друг другу из двух городов, расстояние между которыми равно 360 км. Скорость одного грузовика 36 км/ч , что состовляет 2/3 скорости творого грузовика. Через сколько времени они встретятся?

Answer 1

1) 36:2*3=54(км/ч)- торговый грузовик.
2)360:(36+54)=4(ч)- надо
Ответ: понадобится 4 часа

Answer 2

Problem Analysis

We have two trucks traveling towards each other from two different cities. The distance between the cities is 360 km. The speed of one truck is 36 km/h, which is 2/3 of the speed of the other truck. We need to find out how long it will take for the trucks to meet.

Solution

Let's assume the speed of the faster truck is x km/h. Since the speed of the slower truck is 2/3 of the speed of the faster truck, the speed of the slower truck is (2/3)x km/h.

We know that the distance traveled by both trucks is equal to the total distance between the cities, which is 360 km. Let's denote the time taken by the faster truck as t hours.

The distance traveled by the faster truck is given by distance = speed × time. Therefore, the distance traveled by the faster truck is x × t km.

Similarly, the distance traveled by the slower truck is (2/3)x × t km.

Since the sum of the distances traveled by both trucks is equal to the total distance between the cities, we can write the equation:

x × t + (2/3)x × t = 360

Simplifying the equation:

(5/3)x × t = 360

Dividing both sides of the equation by (5/3)x:

t = (360 × 3) / (5x)

Simplifying further:

t = 216 / x

Therefore, the time taken for the trucks to meet is 216 / x hours.

Now, let's calculate the value of x using the given information that the speed of one truck is 36 km/h, which is 2/3 of the speed of the other truck.

The speed of the slower truck is (2/3) × 36 = 24 km/h.

Substituting the value of x into the equation for t:

t = 216 / 24 = 9 hours

Therefore, the trucks will meet after 9 hours.

Answer

The two trucks will meet after 9 hours.

Explanation

The faster truck is traveling at a speed of 36 km/h, while the slower truck is traveling at a speed of 24 km/h. Since the slower truck is traveling at 2/3 of the speed of the faster truck, it will take more time for the slower truck to cover the same distance. After 9 hours, both trucks will have covered a distance of 324 km (36 km/h × 9 hours) and 216 km (24 km/h × 9 hours) respectively, resulting in a total distance of 540 km. Since the distance between the cities is 360 km, the trucks will meet after 9 hours.