Question

Срочно помогите , пожалуйста!!! Скорость велосипеда на 15 км/ч меньше скорости мотоциклиста. Расстояние от села до города велосипедист проезжает за 6 часов, а мотоциклист за 3 часа. Какова скорость мотоцикла?

Answer 1

Пусть х скорость велосипедиста, тогда скорость мотоциклиста х+15
3(х+15). Путь мотоциклиста
6х. Путь велосипедиста
Составим уравнение:
3(х+5)=6х
3х+15=6х
3х-6х=-15
-3х=-15
Х=5км/час. Скорость велосипедиста
5+15=20км/час. Скорость мотоциклиста

Answer 2

6х=3(х+15);
6х=3х+45;
3х=45;
х=15 скорость велосипедиста, 15+15=30 скррость мотоцикоиста

Answer 3

Problem Analysis

We are given that the speed of a bicycle is 15 km/h less than the speed of a motorcyclist. The bicycle takes 6 hours to travel from a village to a city, while the motorcyclist takes 3 hours. We need to find the speed of the motorcyclist.

Solution

Let's assume the speed of the motorcyclist is x km/h. Since the speed of the bicycle is 15 km/h less than the speed of the motorcyclist, the speed of the bicycle can be represented as (x - 15) km/h.

We can use the formula speed = distance / time to calculate the speed of the motorcyclist and the bicycle.

The distance from the village to the city is the same for both the motorcyclist and the bicycle. Let's represent this distance as d km.

According to the given information, the bicycle takes 6 hours to travel this distance, and the motorcyclist takes 3 hours.

Using the formula speed = distance / time, we can write the following equations:

For the bicycle: speed of bicycle = distance / time (x - 15) = d / 6 For the motorcyclist: speed of motorcyclist = distance / time x = d / 3 To find the speed of the motorcyclist, we can substitute the value of d from equation into equation and solve for x.

Calculation

Substituting the value of d from equation into equation we get:

(x - 15) = (d / 3) / 6

Simplifying the equation:

(x - 15) = d / 18

Multiplying both sides of the equation by 18:

18(x - 15) = d

Simplifying further:

18x - 270 = d

Since d represents the distance from the village to the city, we can substitute it with any value. Let's assume the distance is 180 km for simplicity.

Substituting d = 180 into the equation:

18x - 270 = 180

Adding 270 to both sides of the equation:

18x = 450

Dividing both sides of the equation by 18:

x = 25

Answer

Therefore, the speed of the motorcyclist is 25 km/h.

Please let me know if I can help you with anything else.