Let's denote the original speed of the train as 'x' km/hr and the distance between P and Q as 'd' km.

From the problem, we know that the train covers the distance 'd' in 3 hours at the original speed 'x'. So, we can write the equation:

d = x * 3 ----(1)

When the speed of the train is increased by 6 km/hr, it covers the same distance 'd' in 2 hours. So, we can write the equation:

d = (x + 6) * 2 ----(2)

Since the distance 'd' is the same in both equations, we can set them equal to each other:

x * 3 = (x + 6) * 2

Solving this equation for 'x', we get:

3x = 2x + 12
x = 12 km/hr

Substituting x = 12 into equation (1), we get:

d = 12 * 3 = 36 km

So, the original speed of the train is 12 km/hr and the distance between P and Q is 36 km. Therefore, the correct answer is 'none' as none of the options match the calculated speed.

Question

Let's denote the original speed of the train as 'x' km/hr and the distance between P and Q as 'd' km.

From the problem, we know that the train covers the distance 'd' in 3 hours at the original speed 'x'. So, we can write the equation:

d = x * 3   ----(1)

When the speed of the train is increased by 6 km/hr, it covers the same distance 'd' in 2 hours. So, we can write the equation:

d = (x + 6) * 2   ----(2)

Since the distance 'd' is the same in both equations, we can set them equal to each other:

x * 3 = (x + 6) * 2

Solving this equation for 'x', we get:

3x = 2x + 12
x = 12 km/hr

Substituting x = 12 into equation (1), we get:

d = 12 * 3 = 36 km

So, the original speed of the train is 12 km/hr and the distance between P and Q is 36 km. Therefore, the correct answer is 'none' as none of the options match the calculated speed.

Knowee AI · Accepted Answer