Question

Рассстояние между городами мотоциклист проехал за 2 дня. В первый день он проехал 30% всего пути и ещё 50км, во второй- 0,35 всего пути и оставщиеся 27км. Найдите расстояние между городами.

Answer 1

пусть хкм-весь путь, тогда 0,3х+50км-проехал в первый день,а 0,35х+27 км-во второй день.

Уравнение:

0,3х+50+0,35х+27=х

0,65х+77=х

77=х-0,65х

77=0,35х

х=220 км расстояние между городами.

Answer 2

30 %=0,3

если

расстояние между городами------х км

тогда 

в  первый день  проехал--------0,3х + 50 км

во второй день проехал---------0,35х + 27 км

х=0,3х+50+0,35х+27

х=0,65х+77

х-0,65х=77

0,35х=77

х=77:0,35

х=220 км------расстояние между городами.

Answer 3

Calculating the Distance Traveled by the Motorcyclist

To calculate the distance between the cities, we can use the information provided about the motorcyclist's journey.

- On the first day, the motorcyclist traveled 30% of the total distance and an additional 50 km. - On the second day, the motorcyclist traveled 35% of the total distance and had 27 km remaining.

Let's calculate the total distance using the given information.

Calculation Steps

1. Calculate the distance traveled on the first day. 2. Calculate the distance traveled on the second day. 3. Use the information to find the total distance.

Step 1: Distance Traveled on the First Day

The motorcyclist traveled 30% of the total distance and an additional 50 km on the first day.

Let's denote: - Total distance as D - Distance traveled on the first day as 0.3D + 50 (30% of the total distance plus 50 km)

Step 2: Distance Traveled on the Second Day

The motorcyclist traveled 35% of the total distance and had 27 km remaining on the second day.

Let's denote: - Distance traveled on the second day as 0.35D - Remaining distance as 27 km

Step 3: Finding the Total Distance

To find the total distance, we can set up an equation using the information from steps 1 and 2.

The total distance can be represented as the sum of the distances traveled on the first and second days, plus the remaining distance.

So, we have: 0.3D + 50 + 0.35D + 27 = D

Now, let's solve for D.

Solution

0.3D + 50 + 0.35D + 27 = D 0.65D + 77 = D 77 = D - 0.65D 77 = 0.35D D = 77 / 0.35 D ≈ 220 km

Conclusion

The distance between the cities is approximately 220 kilometers.