Question

Две машины ехали с одинаковой скоростью.Первая машина была в дороге 8 ч, а вторая 3 ч.Первая машина проехала на 320 км больше, чем вторая.Какое расстояние проехала каждая машина?

Answer 1

I машина - t1= 8 ч.,  на 320 км больше
II машина - t2 =3 ч.
V1=V2
S1-?,S2-?
1) Δ t = t1-t2  разница  во времени
Δt=8-3=5 часов  
2) Δ S= 320 км  разница в расстоянии
V1=V2= ΔS/Δt
V1=V2= 320:5=64 км/ч - скорость и первой , и второй машины
3) S1 = t1*V1= 8*64=512 км - расстояние , которое  проехала I машина
4) S2= t2*V2= 3*64= 192 км  - расстояние, которое  проехала II машина
Ответ: S1=512 км, S2=192 км.

Answer 2

Problem Analysis

We are given two cars traveling at the same speed. The first car traveled for 8 hours, while the second car traveled for 3 hours. The first car covered a distance that is 320 km greater than the distance covered by the second car. We need to find the distance traveled by each car.

Solution

Let's assume that the speed of both cars is s km/h. Since the distance covered by a car is equal to the product of its speed and time, we can set up the following equations:

For the first car: Distance = Speed × Time Distance1 = s × 8

For the second car: Distance = Speed × Time Distance2 = s × 3

We are also given that the first car traveled 320 km more than the second car: Distance1 = Distance2 + 320

To find the distance traveled by each car, we can solve these equations simultaneously.

Solving the Equations

Let's substitute the values of Distance1 and Distance2 from the given information into the equations:

s × 8 = s × 3 + 320

Simplifying the equation:

8s = 3s + 320

Subtracting 3s from both sides:

5s = 320

Dividing both sides by 5:

s = 64

Now that we have the value of s, we can substitute it back into the equations to find the distances:

Distance1 = s × 8 = 64 × 8 = 512 km Distance2 = s × 3 = 64 × 3 = 192 km

Answer

Therefore, the first car traveled 512 km, and the second car traveled 192 km.