Question

3) От заправочной станции отправился автобус со скоростью 54 км/ч. Через 5 мин вслед за ним выехал легковой автомобиль со скоростью 72 км/ч. Через какое время и на каком расстоянии от заправочной станции автомобиль догонит автобус? Дано, СИ, Найти, Решение.​

Answer 1

Ответ:18 км

Объяснение:

1) Находим расстояние на которую он отделился

от станции,пока второй не начал движение 54=15м/с, 5мин=60×5=300с, 15мс×300с=4500м =4,5км

2) Скрость сближения 72-54=18кмч

3)Время за которую второй догнал4,5/18=0,25ч = 15мин=900с

4)15×(300+900)=18000м = 18 км

Answer 2

Given Information:

- Speed of the bus: 54 km/h - Speed of the car: 72 km/h - Time elapsed before the car starts: 5 minutes

To Find:

- Time it takes for the car to catch up to the bus - Distance from the gas station where the car catches up to the bus

Solution:

Let's first convert the time elapsed before the car starts from minutes to hours. Since there are 60 minutes in an hour, 5 minutes is equal to 5/60 = 1/12 hours.

Now, let's calculate the distance the bus has traveled during this time. The formula to calculate distance is:

Distance = Speed × Time

For the bus, the speed is 54 km/h and the time is 1/12 hours. Substituting these values into the formula, we get:

Distance = 54 km/h × (1/12) h = 4.5 km

So, when the car starts, the bus is already 4.5 km ahead.

To find the time it takes for the car to catch up to the bus, we can set up the following equation:

Distance = Speed × Time

Let's assume that the time it takes for the car to catch up to the bus is T hours. The distance traveled by the car is the same as the distance traveled by the bus plus the initial distance between them, which is 4.5 km. So, the equation becomes:

72 km/h × T = 54 km/h × T + 4.5 km

Simplifying the equation, we get:

18 km/h × T = 4.5 km

Dividing both sides of the equation by 18 km/h, we find:

T = 4.5 km / 18 km/h = 0.25 hours

Now that we have the time it takes for the car to catch up to the bus, we can calculate the distance from the gas station where the car catches up to the bus. Using the formula:

Distance = Speed × Time

Substituting the values, we get:

Distance = 72 km/h × 0.25 h = 18 km

Therefore, the car catches up to the bus after 0.25 hours (or 15 minutes) and at a distance of 18 km from the gas station.

Answer:

The car will catch up to the bus after 0.25 hours (or 15 minutes) and at a distance of 18 km from the gas station.