Question

СРОЧНО ПОМГИТЕ !!!!!Мотоциклист был задержан в пути на 18 мин, затем проехав 60 км, он наверстал это время, увеличив скорость на 10 км/ч. Найдите начальную скорость мотоциклиста.​

Answer 1

Пусть х - первоначальная скорость мотоциклиста, тогда увеличенная скорость - х+10.

18 минут=0,3 часа

Составим уравнение и решим его

Уравнение имеет два корня

Смыслу задачи соответствует второй корень

Ответ: первоначальная скорость 40 км/ч

Answer 2

Calculation of Initial Speed of the Motorcyclist

To find the initial speed of the motorcyclist, we can use the formula:

Distance = Speed x Time

Let's break down the information given in the problem:

- The motorcyclist was detained for 18 minutes. - After traveling 60 km, the motorcyclist made up for the lost time by increasing their speed by 10 km/h.

We need to find the initial speed of the motorcyclist.

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

1. Convert the detention time from minutes to hours: - Detention time = 18 minutes = 18/60 hours = 0.3 hours.

2. Calculate the time taken to cover the distance of 60 km at the increased speed: - Time taken = Distance / Speed - Time taken = 60 km / (x + 10) km/h

3. Calculate the time taken to cover the same distance at the initial speed: - Time taken = Distance / Speed - Time taken = 60 km / x km/h

According to the problem, the time taken to cover the distance at the increased speed is equal to the detention time:

0.3 hours = 60 km / (x + 10) km/h

Now, let's solve this equation to find the value of x.

To solve the equation, we can cross-multiply:

0.3(x + 10) = 60

Simplifying the equation:

0.3x + 3 = 60

Subtracting 3 from