Two trains move in the same direction at 15 km/h and 21 km/h. What is their relative speed with respect to each other (in km/h)?
Aptitude
Problems on Trains
Difficulty: Easy
Choose an option
-
A26 km/h
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B15 km/h
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C6 km/h
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D24 km/h
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E36 km/h
Answer
Correct Answer: 6 km/h
Explanation
Introduction / Context:Relative speed in the same direction is the absolute difference of the individual speeds. It reflects how fast the faster one gains on the slower one.
Given Data / Assumptions:
- v_fast = 21 km/h.
- v_slow = 15 km/h.
Concept / Approach:Same direction ⇒ v_rel = v_fast − v_slow.
Step-by-Step Solution:
v_rel = 21 − 15 = 6 km/h.Verification / Alternative check:In one hour, the faster train pulls ahead by 6 km—definitionally correct.
Why Other Options Are Wrong:26 and 24 are sums rather than differences; 15 is just one speed; 36 is unrelated.
Common Pitfalls:Adding speeds for same-direction motion; mixing km/h with m/s.
Final Answer:6 km/h