Question

От пристани одновременно в одном направлении отчалили пароход и катер со скоростями соответственно 24 километров 15 километров часов через 4 часа пароход сел на мель снявший через некоторое время догнал катер через час сколько времени пароход стаял на мели

Answer 1

24×4=96 (первый пароход)
15×4=60 (второй пароход)
96-60=36 (разница в проплытых километрах)
36÷15=2,4 (часа стоял первый пароход)
Ответ: 2,4 часа стоял первый пароход на мели.

Answer 2

Problem Analysis

We are given that a steamship and a motorboat departed from a pier simultaneously in the same direction. The steamship had a speed of 24 kilometers per hour, while the motorboat had a speed of 15 kilometers per hour. After 4 hours, the steamship ran aground and, after some time, caught up with the motorboat. We need to determine how long the steamship was grounded.

Solution

Let's break down the information given and solve the problem step by step:

1. The steamship's speed is 24 kilometers per hour, and the motorboat's speed is 15 kilometers per hour. 2. After 4 hours, the steamship ran aground. 3. After some time, the steamship caught up with the motorboat.

To find the time the steamship was grounded, we need to determine the time it took for the steamship to catch up with the motorboat after running aground.

Let's calculate the distance covered by each vehicle during the 4 hours before the steamship ran aground:

- Distance covered by the steamship = speed * time = 24 km/h * 4 h = 96 km - Distance covered by the motorboat = speed * time = 15 km/h * 4 h = 60 km

After the steamship ran aground, it took some time for it to catch up with the motorboat. Let's assume this time is t hours.

During this time, the motorboat continued to move at a speed of 15 km/h, covering a distance of 15t kilometers.

To catch up with the motorboat, the steamship needs to cover the same distance as the motorboat during this time. Therefore, the distance covered by the steamship after running aground is also 15t kilometers.

Since the steamship's speed is 24 km/h, we can set up the following equation:

96 km + 15t km = 15 km/h * t h

Simplifying the equation:

96 km + 15t km = 15 km/h * t h 96 km = 15 km/h * t h - 15t km 96 km = t(15 km/h - 15 km) 96 km = t * 15 km/h

Solving for t:

t = 96 km / (15 km/h) t = 6.4 h

Therefore, the steamship was grounded for 6.4 hours.

Answer

The steamship was grounded for approximately 6.4 hours.

Explanation

After running aground, the steamship took approximately 6.4 hours to catch up with the motorboat, covering a distance of 15 km/h * 6.4 h = 96 km