Question

из пункта А КРУГОВОЙ трассы, длина которой равна 30км одновременно в одном направлении стартовали два автомобилиста. Скорость первого равна 92км/ч скорость второго- 77км/ч. Через сколько минут первый автомобилист будет опережать второго ровно на 1 круг?

Answer 1

92-77=15км/ч разница скоростей

30/15=2часа*60=120 мин 

 

 

Answer 2

Problem Analysis

We have two cars starting simultaneously on a circular track with a length of 30 km. The first car has a speed of 92 km/h, and the second car has a speed of 77 km/h. We need to find out how many minutes it will take for the first car to overtake the second car exactly one lap.

Solution

To solve this problem, we need to calculate the time it takes for the first car to complete one lap and compare it with the time it takes for the second car to complete one lap. The difference in time will give us the answer.

Let's calculate the time it takes for each car to complete one lap:

- The time taken by the first car to complete one lap is given by the formula: time = distance / speed. - The time taken by the second car to complete one lap is also given by the same formula.

Let's calculate the time taken by each car to complete one lap:

For the first car: - Distance = 30 km - Speed = 92 km/h

For the second car: - Distance = 30 km - Speed = 77 km/h

Using the formula time = distance / speed, we can calculate the time taken by each car to complete one lap.

Calculation

For the first car: - Time taken = 30 km / 92 km/h = 0.3261 hours

For the second car: - Time taken = 30 km / 77 km/h = 0.3896 hours

Now, we need to find out how many minutes it will take for the first car to overtake the second car exactly one lap. To do this, we need to find the time difference between the two cars.

Time difference = Time taken by the second car - Time taken by the first car

Time difference = 0.3896 hours - 0.3261 hours = 0.0635 hours

To convert this time difference to minutes, we multiply it by 60:

Time difference in minutes = 0.0635 hours * 60 minutes/hour = 3.81 minutes

Therefore, it will take approximately 3.81 minutes for the first car to overtake the second car exactly one lap.

Answer

It will take approximately 3.81 minutes for the first car to overtake the second car exactly one lap.