Question

Один поезд проходит расстояние между станциями за 26 минут а другой за 39. Через какое время они встретятся если выйдут Одновременно навстречу друг другу?

Answer 1

1:26=1/26(пути)-пройдет первый поезд за 1 минуту
1:39=1/38(пути)- пройдет второй поезд за 1 минуту
1/26+1/39=5/78(пути)-пройдет вместе за 1 минуту
1:5/78=78/5=15 3/5=15,6(минуты)-потребуется 2 поездам, чтобы встретиться
15,6минуты=0,26часа
ответ:0,26часа, то есть 15,6 минуты.

Answer 2

Calculating the Meeting Time for Two Trains

To calculate the time at which two trains will 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. Given that one train covers the distance between the stations in 26 minutes and the other in 39 minutes, we can calculate their relative speed and then use it to find the meeting time.

Step 1: Calculate the Relative Speed The relative speed of the two trains is the sum of their individual speeds.

Step 2: Use Relative Speed to Calculate Meeting Time Once we have the relative speed, we can use it to calculate the meeting time.

Solution

The relative speed of the two trains can be calculated using the formula: Relative Speed = (Speed of Train 1 + Speed of Train 2)

Let's denote the speed of the first train as S1 and the speed of the second train as S2.

Given that the first train covers the distance in 26 minutes and the second train in 39 minutes, we can calculate their speeds using the formula: Speed = Distance / Time

Let's denote the distance between the stations as D.

The meeting time can then be calculated using the formula: Meeting Time = Distance / Relative Speed

Calculation

Using the given information, we can calculate the meeting time for the two trains.

Speed of Train 1 (S1) The speed of the first train can be calculated as: S1 = D / 26

Speed of Train 2 (S2) The speed of the second train can be calculated as: S2 = D / 39

Relative Speed The relative speed of the two trains is: Relative Speed = S1 + S2

Meeting Time The meeting time for the two trains is: Meeting Time = D / Relative Speed

By substituting the values of S1, S2, and Relative Speed into the meeting time formula, we can find the time at which the two trains will meet.

Final Answer

The meeting time for the two trains can be calculated using the relative speed and the distance between the stations. After substituting the appropriate values, we can determine the time at which the two trains will meet.