Question

За 3 часа мотоциклист проезжает то же расстояние, что и велосипедист за 5 часов. скорость мотоцикла на 12 км/ч больше скорости велосипедиста. Определите скорость каждого из них

Answer 1

Пусть х - это скорость велосипедиста, тогда (х+12) - это скорость мотоциклиста.

Составим уравнение:

3×(х+12)=5х

3х+36=5х

5х-3х=36

х=18 - скорость велосипедиста

18+12=3О - скорость мотоциклиста

Ответ: 18 км/ч, 3О км/ч

 

Answer 2

Problem Analysis

We are given that a motorcyclist can travel the same distance as a cyclist in 3 hours, while the cyclist takes 5 hours. The motorcyclist's speed is 12 km/h faster than the cyclist's speed. We need to determine the speed of each.

Solution

Let's assume the speed of the cyclist is x km/h. Then the speed of the motorcyclist is x + 12 km/h.

We can use the formula speed = distance / time to calculate the distance traveled by each in the given time.

The distance traveled by the cyclist in 5 hours is 5x km, and the distance traveled by the motorcyclist in 3 hours is 3(x + 12) km.

Since both distances are the same, we can set up the equation:

5x = 3(x + 12)

Now we can solve for x to find the speed of the cyclist.

Calculation

5x = 3(x + 12)

Expanding the equation:

5x = 3x + 36

Subtracting 3x from both sides:

2x = 36

Dividing both sides by 2:

x = 18

So the speed of the cyclist is 18 km/h.

The speed of the motorcyclist is x + 12 = 18 + 12 = 30 km/h.

Answer

The speed of the cyclist is 18 km/h, and the speed of the motorcyclist is 30 km/h.