Question

A fast train leaves Chennai to Bengaluru and at the same point in time a slow train leaves from Bengaluru to Chennai. The fast train moves at a speed of 60 km /hr and the slow train moves at half of the speed of the fast train. Both these trains meet at a point after some time. Which of these trains are further away from Chennai when they meet? (Do not consider the length of the train)

• A. The fast train is further from Chennai
• B. The slow train is further from Chennai
• C. Both the trains are equidistant from Chennai
• D. None of the option is correct

Answer 1

The Correct Option is C

To determine which train is further away from Chennai when they meet, we need to analyze the problem logically. The fast train leaves Chennai at a speed of 60 km/hr. The slow train leaves Bengaluru and travels at half this speed, which is 30 km/hr.

Assume they meet after t hours.

Train	Speed (km/hr)	Distance covered (km)
Fast Train	60	60t
Slow Train	30	30t

Since they start at the same time and meet at a certain point, the sum of the distances covered by both trains equals the total distance between Chennai and Bengaluru. Let's call this distance D km.

The equation becomes:

60t + 30t = D

90t = D

When they meet, the distance covered by the fast train from Chennai is 60t, and the distance covered by the slow train towards Chennai is 30t.

Therefore, the fast train is 60t km away from Chennai, whereas the slow train is covering the same 30t distance towards Chennai.

Since 60t + 30t = D, the fast train and slow train together cover this distance, but in their respective directions, confirming that both trains are equidistant from Chennai when they meet.