Question

Из 2 городов одновременно два автомобиля. Скорость одного равна 60 км\ч, что состовляет 12\13 скорости второго. Через сколько часов после начала движения они встретяться, если расстояние между ними равно 375км? ОТДАЮ ОКОЛО 29 БАЛЛОВ СРОЧНООО

Answer 1

60:12/13=60*13/12=5*13=65 км/ч - скорость второго
60+65=125 км/ч - скорость их сближения
375:125=3 часа - они встретятся через 3 часа

Answer 2

Problem Analysis

We have two cars traveling from two different cities towards each other. The speed of one car is 60 km/h, which is 12/13 of the speed of the second car. The distance between the two cities is 375 km. We need to find out how many hours it will take for the two cars to meet.

Solution

Let's assume the speed of the second car is x km/h. According to the problem, the speed of the first car is 12/13 of the speed of the second car. Therefore, we can write the equation:

60 = (12/13) * x

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

Solving the Equation

To solve the equation, we can multiply both sides by 13 to get rid of the fraction:

13 * 60 = 12 * x

Simplifying the equation:

x = (13 * 60) / 12

Evaluating the expression:

x = 65

So, the speed of the second car is 65 km/h.

Calculating the Time of Meeting

To calculate the time it takes for the two cars to meet, we can use the formula:

time = distance / relative speed

The relative speed of the two cars is the sum of their speeds:

relative speed = 60 + 65 = 125 km/h

Substituting the values into the formula:

time = 375 / 125

Calculating the expression:

time = 3 hours

Therefore, it will take 3 hours for the two cars to meet.

Answer

The two cars will meet after approximately 3 hours of travel.