Question

Дві вантажівки виїхали одночасно назустріч одна одній з двох міст, відстань між якими дорівнює 360 км. Швидкість однієї вантажівки - 36 км/год, що становить 2/3 від швидкості другої вантажівки. Через скільки часу вони зустрінуться?

Answer 1

1)36:2*3=54км/год скорость другого
2)36+54=90км/год скорость сближения
3)360:90=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

To find the time it takes for the trucks to meet, we can use the formula:

Time = Distance / Relative Speed

The relative speed is the sum of the speeds of the two trucks since they are moving towards each other.

Let's calculate the relative speed first.

Calculation

The speed of one truck is 36 km/h, which is 2/3 of the speed of the other truck. Let's assume the speed of the other truck is x km/h.

So, the relative speed is:

Relative Speed = Speed of Truck 1 + Speed of Truck 2 = 36 km/h + x km/h

Now, we can substitute the relative speed and the distance into the formula to find the time it takes for the trucks to meet.

Time = Distance / Relative Speed = 360 km / (36 km/h + x km/h)

To solve for x, we can set up an equation using the given information that the speed of one truck is 2/3 of the speed of the other truck.

2/3 * x = 36 km/h

Solving this equation, we find:

x = (3/2) * 36 km/h x = 54 km/h

Now, we can substitute the value of x into the formula to find the time:

Time = 360 km / (36 km/h + 54 km/h) = 360 km / 90 km/h = 4 hours

Answer

The two trucks will meet after 4 hours.

Explanation

The relative speed of the two trucks is the sum of their speeds, which is 90 km/h. Since the distance between the two cities is 360 km, it will take 4 hours for the trucks to meet.