Question

Даю 10 баллов! Туристы прошли в первый день 2/5 намеченного пути, во второй - половину оставшегося пути, что на 6 км меньше, чем в первый день. какую часть пути осталось пройти туристам?

Answer 1

Весь путь равен х,тогда в первый день пройдено 2/5х км во второй день пройдено 1/2(1-2/5)х=1/2*3/5х=3/10х км, зная что разница равна 6 км составим ур-ние
(2/5-3/10)х=6
(4/10-3/10)х=6
1/10*х=6
х=60 км - это весь путь, пройти осталось 3/10* х км пути, 3/10*60=18км
осталось 18 км

Answer 2

Calculating Remaining Distance for Tourists

To calculate the remaining distance for the tourists, we can use the information provided.

Let's denote the total distance as D. According to the given information: - On the first day, the tourists covered 2/5 of the total distance. - On the second day, they covered half of the remaining distance, which is 6 km less than the distance covered on the first day.

We can represent the distance covered on the first day as (2/5)D and the distance covered on the second day as (1/2)(3/5)D.

Calculation

The distance covered on the first day is (2/5)D. The distance covered on the second day is (1/2)(3/5)D, which is 6 km less than the distance covered on the first day.

So, we have the equation: (2/5)D - (1/2)(3/5)D = 6

Solving for D: (2/5)D - (3/10)D = 6 (4/10)D - (3/10)D = 6 (1/10)D = 6 D = 60

Answer

The total distance D is 60 km. Therefore, the tourists have 60 - (2/5)D - (1/2)(3/5)D km left to cover.

Let's calculate the remaining distance: (2/5)D + (1/2)(3/5)D = (2/5)(60) + (1/2)(3/5)(60) = 24 + 18 = 42

So, the tourists have 42 km left to cover.

Answer: The tourists have 42 km left to cover.