Question

Поезд едит со скоростью 70 км/час, с первой до второй станции он доезжал за 4 часа и 30 минут.Если поезд увеличит свою скорость на 20%,то на сколько минут раньше приедит поезд на вторую станцию со второй?

Answer 1

70*4,30=1890(км)растояние
70-20=50(км.ч)уменьшенная скорость
1890:50=37.8(мин)
270-37.8=232.2(мин)
Ответ:на 232.2 минуты раньше
.

Answer 2

70*4,5 = 315 (км) - расстояние между станциями

70*1,2 = 84 (км/ч) -  скорость после увеличения

315/84 = 3,75ч 

4,5-3,75 = 0,75ч

Answer 3

Calculation of Travel Time

To calculate the time it takes for the train to travel from the first station to the second station, we can use the formula:

Time = Distance / Speed

Given that the train is traveling at a speed of 70 km/h and it takes 4 hours and 30 minutes to travel from the first station to the second station, we can calculate the distance between the two stations.

Converting the 4 hours and 30 minutes to hours, we have:

Time = 4 hours + 30 minutes = 4.5 hours

Using the formula, we can calculate the distance:

Distance = Speed * Time = 70 km/h * 4.5 hours = 315 km.

Therefore, the distance between the first and second stations is 315 km.

Increased Speed and Arrival Time

If the train increases its speed by 20%, we need to calculate the new speed and the time it takes to travel from the first station to the second station.

To calculate the new speed, we can use the formula:

New Speed = Old Speed + (Old Speed * Percentage Increase)

Substituting the values, we have:

New Speed = 70 km/h + (70 km/h * 0.20) = 70 km/h + 14 km/h = 84 km/h

The new speed of the train is 84 km/h.

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

New Time = Distance / New Speed

Substituting the values, we have:

New Time = 315 km / 84 km/h = 3.75 hours

Converting the new time to minutes, we have:

New Time = 3 hours + 0.75 hours * 60 minutes/hour = 3 hours + 45 minutes

Therefore, if the train increases its speed by 20%, it will arrive at the second station 45 minutes earlier than before.

Conclusion

If the train increases its speed by 20%, it will arrive at the second station 45 minutes earlier than before.