2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?

general knowledge math & puzzles

  1. 40

  2. 30

  3. 80

  4. 60

Show answer
Correct Option: A

AI Explanation

To solve this question, let's consider the distance traveled by both trains.

Let's assume the average speed of the freight train is 'x' km/hr.

The freight train leaves Delhi 2 hours before the passenger train. So, in those 2 hours, the freight train travels a distance of 2x km.

After 4 hours, the passenger train overtakes the freight train. In those 4 hours, the passenger train travels a distance of 16 × 4 = 64 km.

Since the passenger train overtakes the freight train, the distance traveled by both trains must be equal.

Therefore, we can set up the equation:

2x + 64 = 4x

Now, let's solve this equation:

2x = 64

Dividing both sides by 2:

x = 32

Therefore, the average speed of the freight train is 32 km/hr.

The correct answer is option A) 40.

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