Question

МАТЕМАТИКА 6 КЛАСС За ||| дня туристы прошли 48 км. За || день они прошли 60% пути, пройденного за |. А за ||| день прошли пути, пройденного за | день. Сколько км проходили туристы каждый день? ПОМОГИТЕ ПЖ!!1СРОЧНО!!1

Answer 1

X -в первый день
0,6x -во второй день
4/5x=0,8x -в третий день
48км прошли за три дня

x+0,6x+0,8x=48
2,4x=48
x=48:2,4
x=20км прошли в первый день
20*0,6=12км во второй день
20*0,8=16км в третий день

Answer 2

Problem Analysis

We are given that a group of tourists walked a total of 48 km in a certain number of days. On one day, they walked 60% of the distance covered on the previous day. On another day, they walked a certain percentage of the distance covered on the day before that. We need to find out how many kilometers the tourists walked each day.

Solution

Let's assume that the tourists walked x kilometers on the first day.

On the second day, they walked 60% of the distance covered on the previous day, which is 0.6x kilometers.

On the third day, they walked a certain percentage of the distance covered on the day before that. Let's assume this percentage is y%. Therefore, they walked (y/100) * 0.6x kilometers on the third day.

According to the problem, the total distance covered by the tourists in these three days is 48 km. So we can write the equation:

x + 0.6x + (y/100) * 0.6x = 48

Simplifying the equation:

1. x + 0.6x + (y/100) * 0.6x = 48 2. 1.6x + (y/100) * 0.6x = 48 3. 1.6x + 0.006xy = 48

Now we can solve this equation to find the values of x and y.

Let's solve the equation step by step:

1.6x + 0.006xy = 48

Divide both sides of the equation by 0.006x:

1.6 + y = 8000

Subtract 1.6 from both sides of the equation:

y = 8000 - 1.6

y = 7998.4

Now we have the value of y. We can substitute this value back into the equation to find the value of x:

1.6x + 0.006xy = 48

1.6x + 0.006 * 7998.4 * x = 48

1.6x + 47.9904x = 48

49.5904x = 48

x = 48 / 49.5904

x ≈ 0.968 km

Therefore, the tourists walked approximately 0.968 km on the first day, 0.6 * 0.968 ≈ 0.581 km on the second day, and (7998.4/100) * 0.6 * 0.968 ≈ 46.764 km on the third day.

So, the tourists walked approximately 0.968 km, 0.581 km, and 46.764 km on the first, second, and third days respectively.

Answer: The tourists walked approximately 0.968 km, 0.581 km, and 46.764 km on the first, second, and third days respectively.