Question

Две машины ехали с одинаковой скоростью. Первая была в пути 6 часов, а вторая 9 часов. Первая машина проехала на 270 км меньше, чем вторая. Сколько километров проехала каждая машина? Пожалуйста помогите решить условие задачи

Answer 1

Ответ:

первая - 540 км, вторая - 810 км

Пошаговое объяснение:

1) 9-6 = 3 часа

2) 270:3 = 90 км/час - скорость машин

3) 90•6= 540 км - первая машина

4) 9•90= 810 км - вторая машина

Answer 2

Problem Analysis

To solve this problem, we can use the formula: distance = speed × time. We know the time and the relationship between the distances traveled by the two cars. Let's use this information to calculate the distance traveled by each car.

Solution

Let's denote the speed of the cars as v1 and v2, and the distance traveled by the first car as d1 and by the second car as d2.

Given: - Time taken by the first car, t1 = 6 hours - Time taken by the second car, t2 = 9 hours - The first car traveled 270 km less than the second car

We can set up the following equations: 1. d1 = v1 × t1 2. d2 = v2 × t2 3. d1 = d2 - 270

We can use these equations to solve for the distances traveled by each car.

Calculations

Using the formula distance = speed × time, we can express d1 and d2 in terms of v1 and v2: 1. d1 = v1 × 6 2. d2 = v2 × 9

We also know that d1 = d2 - 270. Substituting the expressions for d1 and d2, we get: v1 × 6 = v2 × 9 - 270

Solving for v1 in terms of v2: v1 = (v2 × 9 - 270) / 6

Now we can substitute the expression for v1 back into the equation for d1: d1 = ((v2 × 9 - 270) / 6) × 6 = v2 × 9 - 270

We also know that d2 = v2 × 9.

Final Answer

So, the first car traveled (v2 × 9 - 270) kilometers and the second car traveled v2 × 9 kilometers.