Question

Два поезда отправились одновременно на встречу друг другу от двух станций. первый поезд проходит расстояние между станциями за 24 минуты, второй- за 36 минут. Через сколько минут после отправление поезда встретится?"

Answer 1

скорость первого поезда - S/24, скорость второго поезда S/36

t*(S/24+S/36)=S

t*5S/72=S

t*5S=72S

5t=72

t=72/5=14 2/5 мин

Поезда встретятся через 14 2/5 мин (14мин 24 сек)

Answer 2

Problem Setup

Two trains are traveling towards each other from two different stations. The first train covers the distance between the stations in 24 minutes, and the second train covers the same distance in 36 minutes. We need to find out how many minutes it will take for the trains to meet after their departure.

Solution

To find the time it takes for the trains to meet, we can use the concept of relative speed. The relative speed of two objects moving towards each other is the sum of their individual speeds. We can use the formula: Time = Distance / Relative Speed

Calculation

The relative speed of the two trains is the sum of their individual speeds. Let's denote the speed of the first train as V1 and the speed of the second train as V2.

The distance covered by the first train in 24 minutes is the same as the distance covered by the second train in 36 minutes. Let's denote this distance as D.

So, the relative speed of the two trains is: V1 + V2 = D / 24 + D / 36

To find the value of D, we can use the fact that the first train covers the distance in 24 minutes and the second train covers the same distance in 36 minutes.

Conclusion

By calculating the relative speed and using the given information about the time taken by each train to cover the distance, we can determine the time it will take for the trains to meet after their departure.