Solution:

Let the speed of the train be x km/h.

Then, time taken to cover 360 km at x km/h = $\frac{360}{x}$ hours.

If the speed had been 5 km/h more, then the speed would be (x+5) km/h.

Time taken to cover 360 km at (x+5) km/h = $\frac{360}{(x+5)}$ hours.

Given, $\frac{360}{x} - \frac{360}{(x+5)}$ = 1

Multiplying throughout by x(x+5), we get

360(x+5) - 360x = x(x+5)

Simplifying, we get

1800 = 5x

x = 360 km/h

Therefore, the speed of the train is 60 km/h.

Explanation:

The given problem can be solved using the concept of speed, time, and distance. We have been given the distance and the time taken to cover that distance. Also, we have been given that if the speed had been 5 km/h more, then the time taken to cover the same distance would have been 1 hour less. We need to find the speed of the train.

We can start by assuming the speed of the train to be x km/h. Using the formula distance = speed × time, we can find the time taken to cover 360 km at x km/h. Similarly, we can find the time taken to cover the same distance at a speed of (x+5) km/h.

Now, we can use the given information to form an equation and solve for x. We can simplify the equation and find the value of x, which represents the speed of the train.

Therefore, the speed of the train is 60 km/h.