Question

Из двух пунктов,расстояние между которыми 19 км 500м,одновременно в одном направлении отправились велосепидист и автомобиль.Скорость велосипедиста 12км/ч,а скорость автомобиля 90км/ч.Через сколько времени автомобиль догонит велосипедиста.

Answer 1

19.5=x(90-12 ) x-скорость
автомобиля в пути
x=19.5/(90-12)
x=0.25 это 1/4 часа или 15 минут
Ответ: 15 минут

Answer 2

Problem Analysis

We are given that the distance between two points is 19 km 500 m. A cyclist and a car start simultaneously in the same direction from these points. The speed of the cyclist is 12 km/h, and the speed of the car is 90 km/h. We need to find out how long it will take for the car to catch up with the cyclist.

Solution

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's calculate the time it takes for the car to catch up with the cyclist.

Calculation

The distance between the two points is 19 km 500 m. We can convert this distance to kilometers by dividing it by 1000:

19 km 500 m = 19.5 km

The speed of the cyclist is 12 km/h. Using the formula, we can calculate the time it takes for the cyclist to cover the distance:

Time taken by the cyclist = Distance / Speed = 19.5 km / 12 km/h

Now, let's calculate the time it takes for the car to cover the same distance. The speed of the car is 90 km/h:

Time taken by the car = Distance / Speed = 19.5 km / 90 km/h

Since the car is moving faster than the cyclist, it will take less time for the car to cover the same distance. Therefore, the car will catch up with the cyclist in less time.

To find out how long it will take for the car to catch up with the cyclist, we need to subtract the time taken by the cyclist from the time taken by the car:

Time taken by the car to catch up = Time taken by the car - Time taken by the cyclist

Let's calculate the time:

Time taken by the car to catch up = (19.5 km / 90 km/h) - (19.5 km / 12 km/h)

Answer

The car will catch up with the cyclist in 0.1875 hours.

Note: The answer is rounded to four