Question

!! Велосипедист и тренер отправились одновременно от тренировочные базы на стадион. Велосипедист проехал со скоростью 30 км час доехал до стадиона и поехал назад по направлению тренеру, снизив скорость в два раза встретились они через 18 минут. Сколько метров проехал велосипедист если тренер шёл со скоростью пять километров в час

Answer 1

Ответ:

6.5 километров

Пошаговое объяснение:

Составим уравнение

a/30 + (a-x)/15 = 18/60  (Это уравнение отражает время потраченное велосипедистом на преодоление всего пути. a - путь от старта до стадиона, x - пройденное, тренером расстояние)

x = 5 * 18/60 = 1.5 км (Расстояние которое прошел тренер)

Теперь, зная x можем найти a:

a + 2a - 3 = 9 (Умножили обе части уравнения на 30 и сократили)

3a = 12 => a = 4

Теперь найдем весь путь пройденный велосипедистом

S = a + a - x = 8 - 1/5 = 6.5 км

(Уточнение, очевидно, что тренер не успел дойти до стадиона и встретился с велосипедистом где-то между стартом и стадионом. Полученный ответ, также, удовлетворяет условию)

Answer 2

Problem Analysis

We are given that a cyclist and a trainer start simultaneously from a training base towards a stadium. The cyclist travels at a speed of 30 km/h and reaches the stadium. Then, the cyclist turns back and rides towards the trainer, reducing their speed by half. They meet after 18 minutes. We need to determine how many meters the cyclist traveled if the trainer was walking at a speed of 5 km/h.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's break down the problem step by step:

1. The cyclist travels from the training base to the stadium at a speed of 30 km/h. We need to calculate the distance traveled during this leg of the journey. To do this, we can use the formula distance = speed × time. The time can be calculated by converting 18 minutes to hours (18 minutes = 18/60 = 0.3 hours). Therefore, the distance traveled by the cyclist from the training base to the stadium is 30 km/h × 0.3 hours = 9 km.

2. The cyclist then turns back and rides towards the trainer at half the speed, which is 15 km/h. We need to calculate the distance traveled during this leg of the journey. The time is still 18 minutes, which is 0.3 hours. Therefore, the distance traveled by the cyclist from the stadium to the trainer is 15 km/h × 0.3 hours = 4.5 km.

3. Now, we need to calculate the total distance traveled by the cyclist. The cyclist traveled 9 km from the training base to the stadium and 4.5 km from the stadium to the trainer. Therefore, the total distance traveled by the cyclist is 9 km + 4.5 km = 13.5 km.

4. Finally, we need to convert the distance from kilometers to meters. Since 1 kilometer is equal to 1000 meters, the total distance traveled by the cyclist is 13.5 km × 1000 = 13,500 meters.

Therefore, the cyclist traveled 13,500 meters.

Answer

The cyclist traveled 13,500 meters.