Question

БЕРЯТ, СРОЧНО 35 БАЛЛОВ ЗА 1 ВОПРОС Решите задачу 2 скутера едут с одной скоростью. Если первый уменьшит скорость на 12км/ч а второй увеличит скорость на 6 км/ч то первый за 5 часов пройдёт на 26 км больше, чем второй за 3 часа. С какой скоростью едут скутеры? (Ответ с решением) УМОЛЯЮ ПОМОГИТЕ ЕСЛИ ЗАВТРА НЕ ЗДАМ МНЕ НЕ ЖИТЬ

Answer 1

(х-12)*5 - 26 = (х+6)*3
5х-60-26-3х-18 = 0
2х = 104
х = 52
ПРОВЕРКА:
первый со скоростью 52-12=40 км/час за 5 часов проедет 200 км
второй со скоростью 52+6=58 км/час за 3 часа проедет 174 км
174+26=200

Answer 2

Problem Analysis

We are given that two scooters are traveling at the same speed. If the first scooter reduces its speed by 12 km/h and the second scooter increases its speed by 6 km/h, the first scooter will cover 26 km more than the second scooter in 5 hours compared to the second scooter's 3 hours. We need to find the speed at which the scooters are traveling.

Solution

Let's assume the initial speed of both scooters is x km/h.

According to the problem, the first scooter reduces its speed by 12 km/h, so its new speed is (x - 12) km/h.

The second scooter increases its speed by 6 km/h, so its new speed is (x + 6) km/h.

We are given that the first scooter covers 26 km more than the second scooter in 5 hours compared to the second scooter's 3 hours. This can be expressed as the following equation:

5(x - 12) = 3(x + 6) + 26

Let's solve this equation to find the value of x.

Expanding the equation:

5x - 60 = 3x + 18 + 26

Combining like terms:

5x - 3x = 18 + 26 + 60

Simplifying:

2x = 104

Dividing both sides by 2:

x = 52

Therefore, the initial speed of both scooters is 52 km/h.

Answer

The scooters are traveling at a speed of 52 km/h.