Two trains simultaneously left to meet each other from two cities, the distance between which is 495 km

| September 6, 2021 | education

Two trains simultaneously left to meet each other from two cities, the distance between which is 495 km after 3 hours they met what is the speed of each train if it is known that the speed of one of them is 5 km per hour more than the speed of the other.

The solution of the problem.

We will solve this problem using the equation.

1. Let’s denote by x the speed of the first train.

2. Find the speed of the second train.

(x – 5) km / h.

3. Determine the distance that the first train will travel before the meeting.

x km / h * 3 h = 3 km.

4. Determine the distance that the second train will travel before the meeting.

(x – 5) km / h * 3 h = 3 * (x – 5) km.

5. Let’s compose and solve the equation.

3x + 3 * (x – 5) = 495;

6x – 15 = 495;

6x = 510;

x = 85.

6. The speed of the first train is x = 85 km / h.

7. Find the speed of the second train.

85 km / h – 5 km / h = 80 km / h.

Answer. The speed of one train is 85 km / h, and the second is 80 km / h.



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