Question

Из двух городов расстояние между которыми 240 км, одновременно навстречу друг другу выехали два автомобиля. Скорость одного из 62 1/3, что на 2 1/6 меньше скорости другого. Найдите расстояние между автомобилями через 1 час после начала движения.

Answer 1

62 1/3-2 1/6=60 1/6 скорость второго авто
62 1/3+60 1/6=122 1/2 км проедут за 1 час
240-122 1/2=117 1/2 будет расстояние между ними через 1 час
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Answer 2

Problem Analysis

We are given that two cars start driving towards each other from two cities that are 240 km apart. The speed of one car is 62 1/3, which is 2 1/6 less than the speed of the other car. We need to find the distance between the cars after 1 hour of driving.

Solution

Let's assume the speed of the slower car is x km/h. Then the speed of the faster car will be (x + 2 1/6) km/h.

To find the distance between the cars after 1 hour, we can use the formula:

Distance = Speed × Time

For the slower car, the distance traveled after 1 hour will be x km/h × 1 hour = x km.

For the faster car, the distance traveled after 1 hour will be (x + 2 1/6) km/h × 1 hour = (x + 2 1/6) km.

The total distance between the cars after 1 hour will be the sum of the distances traveled by each car.

Let's calculate the distance between the cars after 1 hour.

Calculation

Let's solve the equation using the given information:

The speed of the slower car is x km/h.

The speed of the faster car is (x + 2 1/6) km/h.

The distance between the cars after 1 hour is x km + (x + 2 1/6) km.

We know that the total distance between the cars is 240 km.

So, we can set up the equation:

x km + (x + 2 1/6) km = 240 km

Simplifying the equation:

2x + 2 1/6 = 240

Converting the mixed fraction to an improper fraction:

2x + 13/6 = 240

Multiplying both sides of the equation by 6 to eliminate the fraction:

12x + 13 = 1440

Subtracting 13 from both sides of the equation:

12x = 1427

Dividing both sides of the equation by 12:

x = 118.92

Now we can substitute the value of x back into the equation to find the distance between the cars after 1 hour:

Distance = x km + (x + 2 1/6) km

Distance = 118.92 km + (118.92 km + 2 1/6 km)

Distance = 118.92 km + 121.08 km

Distance = 240 km

Therefore, the distance between the cars after 1 hour of driving is 240 km.

Answer

The distance between the two cars after 1 hour of driving is 240 km.