Question

ПОМОГИТЕ!! мотоциклист и велосипедист учавствуют в гонках по круговой автотрассе с постоянными скоростями. они стартовали одновременно из одной и той же точки трассы в одном направлении. Мотоциклист в первый раз догнал велосипедиста, когда велосипедист преодолел ровно половину длины трассы. Мотоциклист за время гонки сделал 12 полных оборотов и закончил движение в точке старта. Сколько полных оборотов сделал за это время велосипедист?

Answer 1

Ответ:

6

Пошаговое объяснение:

Допустим скорость мотоциклиста 12км,а велосипедиста половина. То есть 12:2=6
Теперь круги мотоциклиста делим на 2
(Надеюсь понятно почему делим на 2?)

Answer 2

Problem Analysis

We have a motorcycle rider and a cyclist participating in a race on a circular race track. They started simultaneously from the same point on the track in the same direction. The motorcycle rider caught up with the cyclist for the first time when the cyclist had covered exactly half the length of the track. The motorcycle rider completed 12 full laps and finished at the starting point. We need to determine how many full laps the cyclist completed during the race.

Solution

Let's assume the length of the race track is L.

When the motorcycle rider caught up with the cyclist for the first time, the cyclist had covered exactly half the length of the track. This means the motorcycle rider had covered half the track length plus 12 laps.

Let's calculate the distance covered by the motorcycle rider when they caught up with the cyclist for the first time:

Distance covered by the motorcycle rider = Half the track length + 12 laps

Since the motorcycle rider completed 12 full laps, the distance covered by the motorcycle rider is:

Distance covered by the motorcycle rider = 12 * L

Therefore, we can write the equation:

Half the track length + 12 laps = 12 * L

Simplifying the equation:

Half the track length = 12 * L - 12 laps

Since the motorcycle rider completed 12 laps and finished at the starting point, the distance covered by the motorcycle rider is equal to the length of the track:

Distance covered by the motorcycle rider = L

Now, we can write another equation:

Half the track length = L

Equating the two equations:

12 * L - 12 laps = L

Simplifying the equation:

11 * L = 12 laps

Therefore, the number of full laps completed by the cyclist is:

Number of full laps completed by the cyclist = 12 laps / 11

Answer

The cyclist completed 12 laps / 11 full laps during the race.

Note: The above solution assumes that the motorcycle rider and the cyclist maintain a constant speed throughout the race.