Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Aptitude
Problems on Trains
Difficulty: Easy
Choose an option
-
A10 s
-
B12 s
-
C14 s
-
D16 s
Answer
Correct Answer: 12 s
Explanation
Given Data
- Equal train lengths = 120 m each
- Times to pass a post: 10 s and 15 s
Step 1: Find individual speedsv1 = 120/10 = 12 m/sv2 = 120/15 = 8 m/s
Step 2: Cross each other in opposite directionsRelative speed = 12 + 8 = 20 m/sDistance = 120 + 120 = 240 mt = 240 ÷ 20 = 12 s
Final AnswerThey will cross in 12 s.