Question

Туристы за три дня прошли 48 км. В первый день они прошли 1/4 всего расстояние , а во второй 5/9 остатка. сколько км они прошли за третий день?

Answer 1

1) 48:4=12(км)-в первый день. 
2)48-12=36(км)-осталось пройти во 2 и 3 дни

3)36*5/9=20(км)-прошли во 2 день

4)12+20=32(км)-прошли в 1 и 2 дни

5)48-32=16(км)-прошли в 3 день

Answer 2

Пусть в третий день туристы прошли Х км
напишем уравнение пути:
1/4*48+5/9(48-1/4*48)+Х=48
12+4*5*48/4*9-48*5/4*9+Х=48
12+960/36-240/36+Х=48
Х=48-12-720/36=48-12-20=16 км

Answer 3

Problem Analysis

The problem states that a group of tourists walked a total distance of 48 km over three days. On the first day, they walked 1/4 of the total distance, and on the second day, they walked 5/9 of the remaining distance. We need to determine how many kilometers they walked on the third day.

Solution

To find the distance walked on the third day, we need to subtract the distances walked on the first and second days from the total distance.

Let's calculate the distances walked on the first and second days:

- On the first day, they walked 1/4 of the total distance. - On the second day, they walked 5/9 of the remaining distance.

To calculate the remaining distance after the first day, we subtract 1/4 of the total distance from the total distance:

Remaining distance = Total distance - (1/4) * Total distance

To calculate the distance walked on the second day, we multiply the remaining distance by 5/9:

Distance walked on the second day = Remaining distance * (5/9)

Finally, to find the distance walked on the third day, we subtract the distances walked on the first and second days from the total distance:

Distance walked on the third day = Total distance - (Distance walked on the first day + Distance walked on the second day)

Let's calculate the distances:

Total distance = 48 km

Remaining distance = Total distance - (1/4) * Total distance = 48 km - (1/4) * 48 km = 48 km - 12 km = 36 km

Distance walked on the second day = Remaining distance * (5/9) = 36 km * (5/9) = 20 km

Distance walked on the third day = Total distance - (Distance walked on the first day + Distance walked on the second day) = 48 km - (12 km + 20 km) = 48 km - 32 km = 16 km

Therefore, the tourists walked 16 km on the third day.

Answer

The tourists walked 16 km on the third day.