Question

Машина прошла расстояние в 510 км она шла 2 часа со скоростью 120км/ч а остальной путь со скоростью 90км/ч сколько времени находилась машина в пути если она сделала две остановки по 30 мин? Сможет ли машина пройти это расстояние за 6 часов если будет двигаться без остановок со скоростью 90км/ч?

Answer 1

120*2=240км проехала машина за первые 2 часа
510-240=270км осталось проехать
270:90=3 часа машина ехала со скоростью 90 км/ч
30*2=60 мин или 1 ч остановки
2+3+1=6ч машина всего была в пути
90*6=540 км проедет машина за 6 часов
Ответ: машина сможет проехать это расстояние за 6 часов

Answer 2

Calculation of Time Taken and Possibility of Completing the Distance in 6 Hours

To calculate the time taken by the car to cover a distance of 510 km, we need to consider two different speeds and the time spent on two stops.

The car traveled at a speed of 120 km/h for 2 hours and then at a speed of 90 km/h for the remaining distance. Additionally, the car made two stops, each lasting 30 minutes.

Let's calculate the time taken for each segment:

1. Time taken at 120 km/h: - Distance covered = 120 km/h * 2 hours = 240 km - Time taken = Distance covered / Speed = 240 km / 120 km/h = 2 hours

2. Time taken at 90 km/h: - Distance covered = Total distance - Distance covered at 120 km/h = 510 km - 240 km = 270 km - Time taken = Distance covered / Speed = 270 km / 90 km/h = 3 hours

3. Time spent on two stops: - 2 stops, each lasting 30 minutes = 2 * 30 minutes = 60 minutes = 1 hour

Now, let's calculate the total time taken:

- Total time taken = Time taken at 120 km/h + Time taken at 90 km/h + Time spent on two stops - Total time taken = 2 hours + 3 hours + 1 hour = 6 hours

Therefore, the car was in motion for a total of 6 hours, including the time spent on two stops.

Now, let's determine if the car can complete the distance of 510 km in 6 hours, assuming it travels at a constant speed of 90 km/h without any stops.

- Distance to be covered = 510 km - Speed = 90 km/h - Time taken = Distance / Speed = 510 km / 90 km/h = 5.67 hours (approximately)

Since the time taken to cover the distance at a constant speed of 90 km/h is approximately 5.67 hours, which is less than 6 hours, the car can complete the distance within 6 hours without any stops.

In summary: - The car took a total of 6 hours to cover a distance of 510 km, including the time spent on two stops. - If the car travels at a constant speed of 90 km/h without any stops, it can complete the distance of 510 km within 6 hours.