Question

туристы прошли 18 км/ч что составило одну третью часть всего пути какое расстояние должны пройти туристы во сколько раз расстояние которое они прошли меньше оставшегося пути сколько времени они затратят на оставшегося пути если будут идти со средней скоростью 4 км/ч

Answer 1

18 - 1\3 Х

X = 18 : 1\3 = 54 км - весь путь

........................................

54 : 18 = 3 - в 3 раза меньше

...................................

54 : 4 = 13.5 часов (или 13 часов 30 минут) - на весь путь

54 - 18 = 36 - оставшийся путь (в км)

36 : 4 = 9 часов - на оставшийся путь

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer 2

Problem Analysis

We are given that a group of tourists traveled at a speed of 18 km/h, which is one-third of the total distance. We need to find the total distance they need to travel, the ratio of the distance they have already traveled to the remaining distance, and the time they will spend on the remaining distance if they continue at an average speed of 4 km/h.

Solution

Let's break down the problem step by step.

1. Finding the total distance: We are told that the speed of 18 km/h is one-third of the total distance. Let's denote the total distance as `d`. According to the given information, we can set up the equation:

`(1/3) * d = 18`

Solving this equation, we can find the value of `d`.

2. Finding the ratio of the distance traveled to the remaining distance: Once we know the total distance, we can find the distance already traveled by multiplying it by one-third:

`distance traveled = (1/3) * d`

The remaining distance can be found by subtracting the distance traveled from the total distance:

`remaining distance = d - (1/3) * d`

We can then find the ratio of the distance traveled to the remaining distance by dividing the distance traveled by the remaining distance.

3. Finding the time spent on the remaining distance: We are given that the average speed for the remaining distance is 4 km/h. We can use the formula `time = distance / speed` to find the time spent on the remaining distance.

Let's calculate the answers step by step.

Calculation

1. Finding the total distance: From the equation `(1/3) * d = 18`, we can solve for `d`: ``` (1/3) * d = 18 d = 18 * 3 d = 54 ``` Therefore, the total distance the tourists need to travel is 54 km.

2. Finding the ratio of the distance traveled to the remaining distance: The distance traveled is `(1/3) * 54 = 18 km`. The remaining distance is `54 - 18 = 36 km`. The ratio of the distance traveled to the remaining distance is `18/36 = 1/2`.

3. Finding the time spent on the remaining distance: The speed for the remaining distance is 4 km/h. Using the formula `time = distance / speed`, we can find the time spent on the remaining distance: ``` time = 36 km / 4 km/h time = 9 hours ```

Answer

Therefore, the tourists need to travel a total distance of 54 km. The ratio of the distance they have already traveled to the remaining distance is 1:2. They will spend 9 hours on the remaining distance if they continue at an average speed of 4 km/h.