Question

2. Розв'яжи задачу на рух. Два мотоциклісти, які зна- ходилися на відстані 5 км один від одного, одночасно виїхали B одному напрямку. Перший Їхав зі швидкістю 30 км/год. а другий 25 км/год. Через скільки годин перший мотоци- кліст наздогнав другого? -​

Answer 1

Ответ:

Через годину

Пошаговое объяснение:

Перший мотоцикліст їде на 5 км/год швидше ніж другий ( 30-25 ) це якраз відстань між першим і другим мотоциклістом.

Answer 2

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's calculate the time it takes for the first motorcyclist to catch up to the second motorcyclist.

Given information:

- Distance between the two motorcyclists: 5 km - Speed of the first motorcyclist: 30 km/h - Speed of the second motorcyclist: 25 km/h

Calculations:

Using the formula mentioned above, we can calculate the time it takes for the first motorcyclist to catch up to the second motorcyclist.

Time taken by the first motorcyclist = Distance / Speed

For the first motorcyclist: Time = 5 km / 30 km/h = 1/6 hour

For the second motorcyclist: Time = 5 km / 25 km/h = 1/5 hour

Since both motorcyclists started at the same time, the first motorcyclist catches up to the second motorcyclist when they have both traveled the same amount of time.

To find the time it takes for the first motorcyclist to catch up to the second motorcyclist, we need to find the least common multiple (LCM) of 1/6 hour and 1/5 hour.

The LCM of 1/6 hour and 1/5 hour is 1/30 hour.

Therefore, the first motorcyclist catches up to the second motorcyclist after 1/30 hour.

Please let me know if you need any further assistance!