Question

Из городов а и В, расстояние между которыми 168 км, одновременно навстречу друг другу выехали два автомобиля. После их встречи автомобиль, выехавший из города А, прибыл в город В через 1ч. 36 мин., а другой автомобиль прибыл в город А через 54 мин. Найти скорости автомобилей

Answer 1

Извени я сама не поняла суть!

Answer 2

Problem Analysis

We are given that two cars start simultaneously from cities A and B, which are 168 km apart. After their meeting, the car that started from city A arrives in city B after 1 hour and 36 minutes, while the other car arrives in city A after 54 minutes. We need to find the speeds of the two cars.

Solution

Let's assume the speed of the car that started from city A is v1 and the speed of the car that started from city B is v2.

We know that the distance traveled by each car is the same, as they meet each other. Therefore, we can set up the following equation:

Distance = Speed × Time

For the car that started from city A: Distance = 168 km Speed = v1 Time = 1 hour and 36 minutes = 1.6 hours

For the car that started from city B: Distance = 168 km Speed = v2 Time = 54 minutes = 0.9 hours

Using the equation for both cars, we can write the following two equations:

v1 × 1.6 = 168 (Equation 1) v2 × 0.9 = 168 (Equation 2)

Now, we can solve these equations to find the values of v1 and v2.

Calculation

Let's solve Equation 1 for v1:

v1 = 168 / 1.6

Simplifying, we get:

v1 = 105 km/h

Now, let's solve Equation 2 for v2:

v2 = 168 / 0.9

Simplifying, we get:

v2 = 186.67 km/h

Answer

Therefore, the speed of the car that started from city A is 105 km/h, and the speed of the car that started from city B is 186.67 km/h.

Please note that the speeds have been rounded to two decimal places for simplicity.

Let me know if there's anything else I can help you with!