Question
Download Solution PDFTwo trains of equal lengths take 13 seconds and 26 seconds, respectively, to cross a pole. If these trains are moving in the same direction, then how long will they take to cross each other?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Train A takes 13 seconds to cross a pole.
Train B takes 26 seconds to cross a pole.
Concept:
Speed = Distance / Time
When two trains are moving in the same direction, their relative speed is the difference of their speeds.
Solution:
Let the length of each train be L.
⇒ Speed of train A = L/13, speed of train B = L/26.
When the two trains cross each other, the total distance covered is 2L (length of train A + length of train B).
Relative speed of the two trains = speed of train A - speed of train B = L/13 - L/26 = L/26.
Time taken to cross each other = total distance / relative speed = 2L / (L/26) = 52 seconds.
Hence, the two trains take 52 seconds to cross each other.
Last updated on Jun 12, 2025
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