Question

РОЗВ'ЯЗУЄМО ЗАДАЧІ НА ОДНОЧАСНИЙ РУХ ДВОХ ТІЛ У РІЗНИХ НАПРЯМКАХ 80 se Розв'яжи задачу двома способами. Від залізничного вокзалу одночасно вирушили в протилеж- дія них напрямках два електропотяги. За 5 год відстань між ними становила 910 км. Швидкість руху одного з електропотягів - 87 км/год. Знайди швидкість руху іншого елеKTPOПOTЯГа.​

Answer 1

Ответ:

1.910:5=182(км) за 1 годину

2.87:1=87(км) за 1 годину перший потяг проїхав

3.182-87=95(км) за 1 годину другий потяг

Пошаговое объяснение:

перевіримо- 95•5=475 далі 87•5=435

потім 435+475=910

ВІДПОВІДЬ: Швидкість другого потяга 95 км/год

Answer 2

Problem Statement

We are given a problem involving the simultaneous motion of two trains in opposite directions. The problem states that two electric trains depart from a railway station at the same time and move in opposite directions. After 5 hours, the distance between them is 910 km. The speed of one of the trains is given as 87 km/h. We need to find the speed of the other train.

Solution 1: Using Relative Speed

To solve this problem, we can use the concept of relative speed. The relative speed between two objects moving in opposite directions is the sum of their individual speeds. Let's assume the speed of the other train is x km/h.

The distance covered by the first train in 5 hours is given by: Distance1 = Speed1 * Time = 87 km/h * 5 h = 435 km

The distance covered by the second train in 5 hours is given by: Distance2 = Speed2 * Time = x km/h * 5 h = 5x km

The total distance between the two trains after 5 hours is 910 km. Therefore, we can write the equation: Distance1 + Distance2 = 910 km

Substituting the values, we get: 435 km + 5x km = 910 km

Simplifying the equation, we have: 5x = 475 km

Dividing both sides by 5, we find: x = 95 km/h

Therefore, the speed of the other train is 95 km/h.

Solution 2: Using Relative Distance

Alternatively, we can solve this problem using the concept of relative distance. The relative distance between two objects moving in opposite directions is the difference between their individual distances. Let's assume the speed of the other train is x km/h.

The distance covered by the first train in 5 hours is given by: Distance1 = Speed1 * Time = 87 km/h * 5 h = 435 km

The distance covered by the second train in 5 hours is given by: Distance2 = Speed2 * Time = x km/h * 5 h = 5x km

The total distance between the two trains after 5 hours is 910 km. Therefore, we can write the equation: Distance1 - Distance2 = 910 km

Substituting the values, we get: 435 km - 5x km = 910 km

Simplifying the equation, we have: -5x = 475 km

Dividing both sides by -5, we find: x = -95 km/h

Since speed cannot be negative, we discard the negative solution. Therefore, the speed of the other train is 95 km/h.

Conclusion

In conclusion, we have solved the problem of two trains moving in opposite directions. The speed of one train is given as 87 km/h, and after 5 hours, the distance between them is 910 km. Using two different methods, we have determined that the speed of the other train is 95 km/h.