Question

Легковая машина за 3 дня проехала 3850 км.В первый день машина проехала на 140 км больше ,чем во второй день, а третий день проехала в 1,5 раза больше , чем в первый день. Сколько километров проехала машина в каждый день ???

Answer 1

Problem Analysis

We are given that a car traveled a total distance of 3850 km over a period of 3 days. On the first day, the car traveled 140 km more than on the second day, and on the third day, it traveled 1.5 times more than on the first day. We need to determine the distance traveled by the car on each day.

Solution

Let's assume that the distance traveled on the second day is x km.

According to the given information: - On the first day, the car traveled 140 km more than on the second day, so the distance traveled on the first day is x + 140 km. - On the third day, the car traveled 1.5 times more than on the first day, so the distance traveled on the third day is 1.5 * (x + 140) km.

The total distance traveled over the 3 days is the sum of the distances traveled on each day: (x) + (x + 140) + (1.5 * (x + 140)) = 3850

Now we can solve this equation to find the value of x and then calculate the distances traveled on each day.

Calculation

Let's solve the equation:

x + x + 140 + 1.5 * (x + 140) = 3850

Simplifying the equation:

3x + 210 + 1.5x + 210 = 3850 4.5x + 420 = 3850 4.5x = 3430 x = 3430 / 4.5 x ≈ 762.22

Now we can calculate the distances traveled on each day:

- First day: x + 140 ≈ 762.22 + 140 ≈ 902.22 km - Second day: x ≈ 762.22 km - Third day: 1.5 * (x + 140) ≈ 1.5 * (762.22 + 140) ≈ 1713.33 km

Answer

The car traveled approximately: - 902.22 km on the first day - 762.22 km on the second day - 1713.33 km on the third day

Please note that these values are approximate due to rounding.

Let me know if there's anything else I can help you with!