Question

Теплоход вышел из порта N в порт L со скоростью 32 км\ч. Однако, на расстоянии 216км от порта N он попал в шторм и должен был снизить скорочть на 5 км\ч. В результате теплоход прибыл в порт L с опозданием на 25 минут. Сколько километров между N и LЗаранее спасибо

Answer 1

S/32 - время по рассписанию

(S-216)/27-

216/32=6,75

S/32+5/12=6,75+(S-216)/27=S/27-1.25

5/4+5/12=S(1/27-1/32)

5/3=S*5/(32*27)

S=9*32=288

Answer 2

Решение с объяснением.

Обозначим расстояние между портами х.
Тогда теплоход должен был пройти его за
х:32 часа.
Расстояние 216 он шел с плановой скоростью и прошел его за
216 :32=6,75 часа или 6 и 3/4 часа
а оставшиеся (х- 216) км прошел со скоростью 32-5=27 км/ч и прошел их за
(х-216):27 часов или х:27- 8
На весь путь он затратил
27/4 +х:27- 8, что на 5/12 часа больше запланированного времени

27/4 +х:27- 8 -х:32=5/12

5832 +32х- 6912-27х=360

5х=360+1080

5х=1440

х=288 км

Answer 3

Problem Analysis

We are given that a ship traveled from port N to port L at a speed of 32 km/h. However, at a distance of 216 km from port N, the ship encountered a storm and had to reduce its speed by 5 km/h. As a result, the ship arrived at port L 25 minutes late. We need to determine the distance between ports N and L.

Solution

Let's denote the distance between ports N and L as d km.

We know that the ship initially traveled at a speed of 32 km/h for a distance of 216 km. This means it took the ship 216/32 = 6.75 hours to cover this distance.

When the ship encountered the storm, it had to reduce its speed by 5 km/h. Therefore, the ship's speed for the remaining distance (d - 216) km was 32 - 5 = 27 km/h.

We also know that the ship arrived at port L 25 minutes late. This means the ship took an additional 25 minutes to cover the remaining distance (d - 216) km at a speed of 27 km/h.

To convert the additional time from minutes to hours, we divide it by 60: 25/60 = 0.4167 hours.

Now, we can set up an equation to solve for the distance d:

6.75 + 0.4167 = (d - 216) / 27

Let's solve this equation to find the value of d.

Calculation

6.75 + 0.4167 = (d - 216) / 27

7.1667 = (d - 216) / 27

Multiply both sides of the equation by 27:

27 * 7.1667 = d - 216

193.3339 = d - 216

Add 216 to both sides of the equation:

193.3339 + 216 = d

409.3339 = d

Answer

The distance between ports N and L is approximately 409.33 km.

Please note that the answer has been rounded to two decimal places.

Let me know if you need any further assistance!