Question

За три дня турист прошёл 90 км . Во второй день он прошёл на 10 км меньше , чем в первый день ,а в третий 4/5 того , что в первый и второй день вместе . Сколько километров проходил турист каждый день ?

Answer 1

В первый день x км
во второй x-10 км
третий 4/5(2x-10)
x+x-10+4/5(2x-10)=90
2x-10=50
x=30 в первый дент
x-10=20 во второй
4/5(2x-10)=40 в третий
Ответ 30 20 40 км

Answer 2

1)90+10=100
2)100:5•4=80
Ответ: 90;100;80

Answer 3

Calculation of the Distance Covered Each Day

To calculate the distance covered by the tourist each day, we can use the information provided in the question.

Let's break down the information given:

- The tourist walked a total of 90 km in three days. - On the second day, the tourist walked 10 km less than on the first day. - On the third day, the tourist walked 4/5 of the distance covered on the first and second days combined.

To find the distance covered each day, we can set up equations based on the given information.

Let's assume the distance covered on the first day is x km.

- On the second day, the tourist walked 10 km less than on the first day, so the distance covered is x - 10 km. - On the third day, the tourist walked 4/5 of the distance covered on the first and second days combined. Since the distance covered on the first and second days is x + (x - 10) km, the distance covered on the third day is 4/5 * (x + (x - 10)) km.

We know that the total distance covered in three days is 90 km, so we can set up the equation:

x + (x - 10) + 4/5 * (x + (x - 10)) = 90

Now, let's solve this equation to find the value of x.

Solving the Equation

To solve the equation, we can simplify and solve for x:

x + (x - 10) + 4/5 * (x + (x - 10)) = 90

Simplifying the equation:

x + x - 10 + 4/5 * (2x - 10) = 90

2x - 10 + 4/5 * (2x - 10) = 90

Multiplying through by 5 to eliminate the fraction:

5x + 5x - 50 + 4(2x - 10) = 450

10x - 50 + 8x - 40 = 450

18x - 90 = 450

Adding 90 to both sides:

18x = 540

Dividing both sides by 18:

x = 30

So, the distance covered on the first day is 30 km.

Now, let's calculate the distance covered on the second and third days.

- On the second day, the distance covered is x - 10 = 30 - 10 = 20 km. - On the third day, the distance covered is 4/5 * (x + (x - 10)) = 4/5 * (30 + (30 - 10)) = 4/5 * (30 + 20) = 4/5 * 50 = 40 km.

Therefore, the tourist covered 30 km on the first day, 20 km on the second day, and 40 km on the third day.