Question

Помогите решить задачу: Из города А в город Б выехал мопед со скоростью 40 км/ч. Через час вслед за ним из города А выехал автомобиль, а ещё через час мопед и автомобиль одновременно приехали в город Б. Найдите скорость автомобиля. Заранее огромное спасибо!) ❤

Answer 1

5*16=80км проедет велосепидист    2*40= 80км проедет мотоциклист  5-3=2 через 2 часа догонит

Answer 2

Problem Analysis

We are given that a moped travels from city A to city B at a speed of 40 km/h. After one hour, a car starts from city A and both the moped and the car arrive in city B at the same time. We need to find the speed of the car.

Solution

Let's assume the distance between city A and city B is d km.

We know that the moped travels at a speed of 40 km/h and the car starts one hour later. Therefore, the moped has a head start of 40 km.

When the car starts, both the moped and the car travel for the same amount of time and arrive at city B simultaneously. Let's denote the speed of the car as c km/h.

Since the moped has a head start of 40 km, the car needs to cover this distance in the same time it takes the moped to travel the entire distance d.

Using the formula distance = speed × time, we can set up the following equation:

40 km = c km/h × t

where t is the time taken by both the moped and the car to travel the distance d.

We also know that the car starts one hour after the moped. Therefore, the time taken by the car is t - 1.

Substituting this into the equation, we have:

40 km = c km/h × (t - 1)

Now we have two equations:

40 km = c km/h × t (Equation 1)

40 km = c km/h × (t - 1) (Equation 2)

We can solve this system of equations to find the value of c.

Let's solve the equations step by step:

From Equation 1, we can express t in terms of c:

t = 40 km / c km/h

Substituting this into Equation 2, we have:

40 km = c km/h × (40 km / c km/h - 1)

Simplifying the equation:

40 km = 40 km - c km/h

c km/h = 0

This means that the speed of the car is 0 km/h.

Answer

The speed of the car is 0 km/h.

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