Question

Из пункта A в пункт B со скоростью 12км/ч выехал велосипедист, а через полчаса вслед за ним выехал другой велосипедист, проезжавший в час 14км и прибывший в пункт В одновременно с первым велосипедистом. Найдите расстояние между А и В

Answer 1

Пусть X - это время первого велосипедиста, значит X-0,5 - это время второго.
Расстояние можно выразить:
$12*X$
$14*(x-0,5)=14x-7$
А расстояние равно в обоих случаях:

$12X=14X-7$
$X=3,5$ - время первого

Расстояние равно:

$12*3,5=42$км

Answer 2

Problem Analysis

We are given that a cyclist travels from point A to point B at a speed of 12 km/h. After half an hour, another cyclist starts from point A and travels at a speed of 14 km/h. We need to find the distance between points A and B.

Solution

To find the distance between points A and B, we can use the formula:

Distance = Speed × Time

Let's calculate the time it takes for the second cyclist to reach point B.

The first cyclist travels for half an hour, which is equivalent to 0.5 hours. The second cyclist starts half an hour later, so the total time for the second cyclist is the same as the time taken by the first cyclist.

Now we can calculate the distance between points A and B using the formula mentioned above.

Calculation

- Speed of the first cyclist = 12 km/h - Time taken by the first cyclist = 0.5 hours - Speed of the second cyclist = 14 km/h - Time taken by the second cyclist = 0.5 hours

Using the formula Distance = Speed × Time, we can calculate the distance between points A and B for each cyclist:

- Distance for the first cyclist = 12 km/h × 0.5 hours = 6 km - Distance for the second cyclist = 14 km/h × 0.5 hours = 7 km

Since the second cyclist arrives at point B at the same time as the first cyclist, the distance between points A and B is the same for both cyclists.

Therefore, the distance between points A and B is 6 km.

Answer

The distance between points A and B is 6 km.