Question

Из двух городов , расстояние между которыми 600 км одновременно навстречу друг другу выехали два грузовика . скорость одного из них 54км/ч а второго на 8км/ч меньше. Через сколько часов они встретятся?

Answer 1

54-8=46 - скорость второго грузовика

54+46=100 - скорость сближения

600/100=6 - время до встречи

Answer 2

600 / (54 +(54 - 8)) = 6 часов

Ответ: через 6 часов 

Answer 3

Problem Analysis

We are given that two trucks start simultaneously from two cities that are 600 km apart and are moving towards each other. The speed of one truck is 54 km/h, while the speed of the other truck is 8 km/h less. We need to determine how many hours it will take for the trucks to meet.

Solution

Let's denote the speed of the first truck as v1 and the speed of the second truck as v2. We are given that v1 = 54 km/h and v2 = v1 - 8 km/h.

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

time = distance / relative speed

The relative speed of the two trucks is the sum of their speeds since they are moving towards each other. Therefore, the relative speed is (v1 + v2).

The distance between the two cities is 600 km. Substituting the values into the formula, we get:

time = 600 km / (v1 + v2)

Now, let's calculate the time it takes for the trucks to meet.

Calculation

Substituting the given values, we have:

v1 = 54 km/h

v2 = v1 - 8 km/h

v2 = 54 km/h - 8 km/h = 46 km/h

time = 600 km / (54 km/h + 46 km/h)

Simplifying the expression:

time = 600 km / 100 km/h

time = 6 hours

Therefore, the two trucks will meet after 6 hours.

Answer

The two trucks will meet after 6 hours.

Explanation

The trucks are traveling towards each other, so their relative speed is the sum of their speeds. The distance between the two cities is 600 km. By dividing the distance by the relative speed, we find that it will take 6 hours for the trucks to meet.