Question

Мотоциклист проехал 10 км вдвое быстрее ,чем следующие 8000 метров . Найдите его среднюю скорость , если общее время в пути составило 10 минут Срочно!!!!

Answer 1

Ответ:

108км/час

Объяснение:

Дано:

S₁=10км;

S₂=8км;

t=10мин=1/6часа;

Решение, средняя скорость равна сумме всего пути, деленное на общее время.

v=(S₁+S₂)/t=(10+8)/10=1,8км/минуту;

если перевести в стандартную скорость.

v=1,8км/минуту=1,8км/минуту*60минут/часе=108км/час

Answer 2

Calculation of Average Speed

To find the average speed of the motorcyclist, we need to calculate the total distance traveled and the total time taken.

Given: - The motorcyclist traveled 10 km at a speed that is twice as fast as the next 8000 meters. - The total time taken was 10 minutes.

Let's break down the problem into two parts:

1. Distance traveled at a faster speed: 10 km - 8000 meters = 2000 meters. 2. Distance traveled at a slower speed: 8000 meters.

Now, let's calculate the time taken for each part:

1. Time taken for the faster speed: Let's assume the speed for the slower part is x meters per minute. Since the motorcyclist traveled at twice the speed, the speed for the faster part is 2x meters per minute. The time taken for the faster part can be calculated using the formula: time = distance / speed. Therefore, the time taken for the faster part is 2000 meters / (2x meters per minute) = 1000 / x minutes. 2. Time taken for the slower speed: The time taken for the slower part is 8000 meters / x meters per minute = 8000 / x minutes.

The total time taken is given as 10 minutes, so we can write the equation:

1000 / x + 8000 / x = 10

To solve this equation, we can multiply both sides by x to eliminate the denominator:

1000 + 8000 = 10x

Simplifying further:

9000 = 10x

Dividing both sides by 10:

x = 900

Now that we have the value of x, we can calculate the time taken for the faster part:

Time taken for the faster part = 1000 / x = 1000 / 900 = 10 / 9 minutes.

To find the average speed, we can use the formula: average speed = total distance / total time.

Total distance = 10 km = 10000 meters.

Total time = time taken for the faster part + time taken for the slower part = 10 / 9 + 8000 / 900 = (10000 + 8000) / 900 = 18000 / 900 = 20 minutes.

Average speed = 10000 meters / 20 minutes = 500 meters per minute.

Therefore, the motorcyclist's average speed was 500 meters per minute.