Question

Помогите пожалуйста решить задачу Из посёлка отправить одновременно в одном направления велосипедист и мотоциклист. Мотоциклист за 5 часов проезжает 280 км а велосипедист за 2 часа проезжает 24 км. Через сколько часов расстояние между ними станет 132 км?

Answer 1

280:5= 56 км/ч скорость мотоциклиста. 24:2= 12 км/ч скорость велосипедиста. За 3 часа мотоциклист проедет 56*3=168 км, а велосипедист 12*3=36км 168-36=132 км расстояние между ними. Ответ: через 3 часа расстояние между ними будет равно 132 км.

Answer 2

Problem Analysis

We are given that a cyclist and a motorcyclist start simultaneously from a village and travel in the same direction. The motorcyclist covers a distance of 280 km in 5 hours, while the cyclist covers a distance of 24 km in 2 hours. We need to determine how many hours it will take for the distance between them to become 132 km.

Solution

Let's assume that after x hours, the distance covered by the motorcyclist is D1 and the distance covered by the cyclist is D2.

From the given information, we can set up the following equations:

1. D1 = 280 km in 5 hours 2. D2 = 24 km in 2 hours 3. D1 - D2 = 132 km (the distance between them)

To find the time it takes for the distance between them to become 132 km, we need to solve these equations.

Let's start by finding the speed of the motorcyclist and the cyclist.

The speed of an object is given by the formula: speed = distance / time.

For the motorcyclist: Speed of the motorcyclist = D1 / 5

For the cyclist: Speed of the cyclist = D2 / 2

Now, let's solve the equations.

From equation 1: Speed of the motorcyclist = D1 / 5 = 280 / 5 = 56 km/h

From equation 2: Speed of the cyclist = D2 / 2 = 24 / 2 = 12 km/h

Now, let's find the time it takes for the distance between them to become 132 km.

Let's assume it takes t hours for the distance between them to become 132 km.

So, the distance covered by the motorcyclist in t hours is D1 = 56t km.

The distance covered by the cyclist in t hours is D2 = 12t km.

From equation 3: D1 - D2 = 132 km

Substituting the values of D1 and D2: 56t - 12t = 132

Simplifying the equation: 44t = 132

Dividing both sides by 44: t = 132 / 44 = 3 hours

Therefore, it will take 3 hours for the distance between the motorcyclist and the cyclist to become 132 km.

Answer

The distance between the motorcyclist and the cyclist will become 132 km after 3 hours.