Question

Путь между двумя пристанями катер прошёл за 3 дня, причём в первый 0,35 всего пути, во второй - 8/13 остатка, а в третий на 72 км меньше чем в первый. Чему равно расстояние между пристанями?

Answer 1

1-0,35=0,65; 0,65*8/13=0,4;

0,65-0,4=0,25; 0,35-0,25=0,1

72/0,1=720км - искомый ответ.

Answer 2

1-0,35=0,65 - остаток пути пройденный во 2 и 3 день

0,65 * 8/13 = 13/20 * 8/13=0,4 пути прошел катер во второй день

0,65-0,4=0,25 расстояние пройденное в 3 день

0,35-0,25= 0,1 разница в расстоянии 1 и 3 дня пути

72 / 0,1 = 720 км расстояние между пристанями

Answer 3

Problem Analysis

We are given that a boat traveled between two ports in 3 days. In the first day, it covered 0.35 of the total distance. In the second day, it covered 8/13 of the remaining distance. And in the third day, it covered 72 km less than what it covered on the first day. We need to find the total distance between the two ports.

Solution

Let's assume the total distance between the two ports is D km.

On the first day, the boat covered 0.35D km. On the second day, it covered 8/13 of the remaining distance, which is (1 - 0.35)D km. On the third day, it covered 72 km less than what it covered on the first day, which is 0.35D - 72 km.

To find the total distance, we can add up the distances covered on each day:

0.35D + (1 - 0.35)D + (0.35D - 72) = D

Simplifying the equation:

0.35D + 0.65D + 0.35D - 72 = D

Combining like terms:

1.35D - 72 = D

Subtracting D from both sides:

0.35D - 72 = 0

Adding 72 to both sides:

0.35D = 72

Dividing both sides by 0.35:

D = 72 / 0.35

Calculating the value of D:

D = 205.7142857 km (rounded to 9 decimal places)

Therefore, the distance between the two ports is approximately 205.7142857 km.

Answer

The distance between the two ports is approximately 205.7142857 km.