Question

Из пунк­та A в пункт B од­но­вре­мен­но вы­еха­ли ав­то­мо­би­лист и мотоциклист. Из­вест­но, что за час ав­то­мо­би­лист про­ез­жа­ет на 30 км боль­ше, чем мотоциклист. Опре­де­ли­те ско­рость мотоциклиста, если из­вест­но, что он потратил на этот путь 5 часов, а ав­то­мо­би­ли­ст 3часа

Answer 1

Х-скор мотоциклиста
х+30 скор авто
5х=3(х+30)
5х-3х=90
х=45 км/ч скорость мотоциклиста

Answer 2

Problem Analysis

We are given that a motorist and a motorcyclist simultaneously left point A and traveled to point B. We are also given that the motorist traveled 30 km more than the motorcyclist in one hour. Additionally, we know that the motorcyclist took 5 hours to complete the journey, while the motorist took 3 hours. We need to determine the speed of the motorcyclist.

Solution

Let's assume the speed of the motorcyclist is x km/h. Since the motorist traveled 30 km more than the motorcyclist in one hour, the speed of the motorist is x + 30 km/h.

We can use the formula distance = speed × time to calculate the distance traveled by both the motorcyclist and the motorist.

For the motorcyclist: - Speed = x km/h - Time = 5 hours - Distance = x × 5 km

For the motorist: - Speed = x + 30 km/h - Time = 3 hours - Distance = (x + 30) × 3 km

Since both the motorcyclist and the motorist traveled from point A to point B, their distances should be equal. Therefore, we can set up the following equation:

x × 5 = (x + 30) × 3

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

5x = 3(x + 30)

5x = 3x + 90

2x = 90

x = 45

Therefore, the speed of the motorcyclist is 45 km/h.

Answer

The speed of the motorcyclist is 45 km/h.