Question

За три дні туристи пройшли 48 км. За другий день вони пройшли 60 % відстані, пройденої за перший день, а за третій 4/5 відстані, пройденої за перший день. Скільки кілометрів проходили туристи кожного дня? ​

Answer 1

Ответ:

Пошаговое объяснение:

x - количество километров, которые туристы прошли за 1-й день.

0,6x - количество километров, которые туристы прошли за 2-й день.

4/5 ·x=0,8x - количество километров, которые туристы прошли за 3-й день.

x+0,6x+0,8x=48

x=48/2,4=480/24

x=20 км туристы прошли за 1-й день.

0,6·20=12 км туристы прошли за 2-й день.

0,8·20=16 км или 48-(20+12)=48-32=16 км туристы прошли за 3-й день.

Answer 2

Problem Analysis

We are given that a group of tourists walked a total distance of 48 km over three days. On the second day, they walked 60% of the distance covered on the first day, and on the third day, they walked 4/5 of the distance covered on the first day. We need to find out how many kilometers the tourists walked each day.

Solution

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

According to the given information: - On the second day, they walked 60% of the distance covered on the first day, which is 0.6x km. - On the third day, they walked 4/5 of the distance covered on the first day, which is (4/5)x km.

We know that the total distance covered over the three days is 48 km. So, we can write the equation:

x + 0.6x + (4/5)x = 48

Simplifying the equation: (1 + 0.6 + 4/5)x = 48 (2.6 + 4/5)x = 48 (13/5 + 4/5)x = 48 (17/5)x = 48

To solve for x, we can multiply both sides of the equation by 5/17: x = (48 * 5) / 17 x = 14.12 km (rounded to two decimal places)

Now that we know the distance covered on the first day, we can calculate the distances covered on the second and third days: - Second day: 0.6 * 14.12 = 8.47 km (rounded to two decimal places) - Third day: (4/5) * 14.12 = 11.30 km (rounded to two decimal places)

Answer

The tourists walked the following distances each day: - First day: 14.12 km - Second day: 8.47 km - Third day: 11.30 km