Question

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

Answer 1

1). 8-3=5(ч) - разница во времени
2). 320:5=64(км/ч) - скорость каждой машины
3). 64*8=512(км) - проехала машина №1
4). 64*3=192(км) - проехала машина №2
Ответ: 1-ая машина - 512 км, а 2-ая - 192км

Answer 2

Problem Analysis

We are given two cars traveling at the same speed. The first car takes 8 hours to reach its destination, while the second car takes 3 hours. The first car arrives 320 km ahead of the second car. We need to find the distance traveled by each car.

Solution

Let's assume the distance traveled by the second car is x km. Since both cars are traveling at the same speed, the distance traveled by the first car would be x + 320 km.

We can use the formula distance = speed × time to find the distance traveled by each car.

For the first car: distance1 = speed × time1 = x + 320

For the second car: distance2 = speed × time2 = x

Now we can solve these equations to find the values of x and x + 320.

Calculation

Let's solve the equations:

From the first equation: x + 320 = speed × time1

From the second equation: x = speed × time2

Since both cars are traveling at the same speed, we can equate the right sides of the equations:

speed × time1 = speed × time2

Simplifying the equation: time1 = time2

Since the first car took 8 hours and the second car took 3 hours, we can conclude that the speed of the cars is the same.

Now we can substitute the value of x in the first equation to find the distance traveled by the first car:

distance1 = (speed × time1) + 320 = (speed × 8) + 320 = 8 × speed + 320

And the distance traveled by the second car:

distance2 = (speed × time2) = (speed × 3) = 3 × speed

Answer

Therefore, the first car traveled 8 × speed + 320 km, and the second car traveled 3 × speed km.

Please note that we don't have the specific value of the speed, so we can't calculate the exact distances traveled by each car. However, we can express the distances in terms of the speed.