Question

Две машины одновременно выехали из города в разных направлениях по дороге, имеющей форму окружности. Скорость одной машины 90 км/ч, а другой 20 м/с. Какое расстояние будет между машинами вдоль дороги через 20 минут, если длина всей дороги 100 км?

Answer 1

Для решения нужно привести все известные величины к единым единицам измерения.

Скорость одной машины - 90 км/, второй - 20 м/с= 20*3600/1000 км/ч=72 км/ч;

Каждая машина двигалась в течение 20 мин.=1/3 часа

Всего машины проедут: 90*1/3+72*1/3=30+24=54 км. Следовательно между ними будет расстояние 100-54=46 км.

Answer 2

Problem Analysis

Two cars are traveling in opposite directions along a circular road. The speed of one car is given in kilometers per hour (km/h), while the speed of the other car is given in meters per second (m/s). We need to find the distance between the two cars after 20 minutes, given that the total length of the road is 100 kilometers.

Solution

To find the distance between the two cars, we need to calculate the distance each car has traveled after 20 minutes and then find the difference between these distances.

Let's start by converting the speed of the second car from meters per second to kilometers per hour. We know that 1 kilometer is equal to 1000 meters, and 1 hour is equal to 3600 seconds. Therefore, we can use the following conversion factor:

1 m/s = (1/1000) km/s = (1/1000) * (3600/1) km/h = 3.6 km/h

So, the speed of the second car is 20 m/s * 3.6 km/h = 72 km/h.

Now, let's calculate the distance each car has traveled after 20 minutes. We can use the formula:

Distance = Speed * Time

For the first car: Distance1 = 90 km/h * (20 minutes / 60 minutes/hour) = 30 kilometers

For the second car: Distance2 = 72 km/h * (20 minutes / 60 minutes/hour) = 24 kilometers

Finally, we can find the distance between the two cars by taking the absolute difference between their distances:

Distance between the cars = |Distance1 - Distance2| = |30 km - 24 km| = 6 kilometers

Therefore, the distance between the two cars after 20 minutes will be 6 kilometers.

Answer

The distance between the two cars along the road after 20 minutes will be 6 kilometers.