Question

Поезд, двигаясь со скорость 75 км/ч, преодолевает расстояние между первой и второй станциями за 2 ч 24 мин. На сколько минут раньше прибуде поезд на вторую станцию, если он увеличит скорость на 20%? Заранее благодорю!

Answer 1

2ч24мин=2,4ч

75*2,4=180км между первой и второй станциями

1,2*75=90км/ч - увеличенная скорость

180/90=2ч - время

2ч24мин-2ч=24мин - на 24 минуты

Answer 2

Problem Analysis

We are given that a train is traveling at a speed of 75 km/h and it takes 2 hours and 24 minutes to travel between the first and second stations. We need to determine how many minutes earlier the train will arrive at the second station if its speed is increased by 20%.

Solution

To solve this problem, we can follow these steps: 1. Convert the time taken to travel between the first and second stations to minutes. 2. Calculate the new speed of the train after increasing it by 20%. 3. Calculate the time taken to travel between the first and second stations at the new speed. 4. Calculate the difference in time between the original and new time taken. 5. Convert the difference in time to minutes.

Let's calculate the answer step by step.

Step 1: Convert the time taken to minutes

The train takes 2 hours and 24 minutes to travel between the first and second stations. We need to convert this time to minutes.

2 hours = 2 * 60 minutes = 120 minutes 24 minutes = 24 minutes

So, the total time taken is 120 minutes + 24 minutes = 144 minutes.

Step 2: Calculate the new speed of the train

The train's speed is increased by 20%. To calculate the new speed, we can multiply the original speed by 1.2.

New speed = 75 km/h * 1.2 = 90 km/h

Step 3: Calculate the new time taken to travel between the first and second stations

To calculate the new time taken, we can use the formula:

Time = Distance / Speed

The distance between the first and second stations is the same, so we can use the original distance. Let's assume the distance is D.

New time = D / New speed

Step 4: Calculate the difference in time

The difference in time is the original time taken minus the new time taken.

Difference in time = Original time taken - New time taken

Step 5: Convert the difference in time to minutes

To convert the difference in time to minutes, we can multiply it by 60.

Let's calculate the answer using the given information.

Step 1: The time taken to travel between the first and second stations is 144 minutes.

Step 2: The new speed of the train is 90 km/h.

Step 3: The new time taken to travel between the first and second stations can be calculated using the formula:

New time = D / New speed

Since we don't have the distance, we cannot calculate the new time accurately.

Unfortunately, the given information is not sufficient to calculate the exact number of minutes earlier the train will arrive at the second station if its speed is increased by 20%. We would need the distance between the first and second stations to calculate the new time taken.

Please provide the distance between the first and second stations, and I will be able to calculate the answer for you.