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 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)
Updated On: Jul 16, 2026
- The fast train is further from Chennai
- The slow train is further from Chennai
- Both the trains are equidistant from Chennai
- None of the option is correct
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The Correct Option is C
Approach Solution - 1
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.
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Approach Solution -2
The speeds of the two trains do not actually need to be calculated at all to answer this question, because of a simple physical fact: two objects that meet are, at the instant they meet, standing at the very same location.
The fast train starts from Chennai and travels toward Bengaluru, while the slow train starts from Bengaluru and travels toward Chennai. Wherever along the route they happen to cross paths, that crossing point is a single, specific spot on the line joining the two cities, occupied by both trains at once.
- Option A (The fast train is further from Chennai): This would require the two trains to be at different points when they meet, which is impossible, so this is incorrect.
- Option B (The slow train is further from Chennai): Same reasoning applies, this is incorrect for the same reason.
- Option C (Both the trains are equidistant from Chennai): Since both trains occupy the exact same point when they meet, their distance from Chennai measured from that shared point is necessarily identical, so this is correct.
- Option D (None of the option is correct): Since option C is true, this is incorrect.
The speeds of 60 km/hr and 30 km/hr only decide where along the route the meeting point falls, they cannot make the two trains be at two different distances from Chennai at the very moment they occupy the same spot.
the correct answer is Option C: Both the trains are equidistant from Chennai.
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