Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
Aptitude
Problems on Trains
Difficulty: Medium
Choose an option
-
A50 seconds
-
B48 seconds
-
C52 seconds
-
D55 seconds
Answer
Correct Answer: 48 seconds
Explanation
We are given:
- Speed of Train A = 60 km/h
- Speed of Train B = 90 km/h
- Length of Train A = 1.10 km = 1100 m
- Length of Train B = 0.90 km = 900 m
Step 1: Find total distance to be coveredTotal length = 1100 + 900 = 2000 meters
Step 2: Find relative speedRelative Speed = 60 + 90 = 150 km/hConvert to m/s: 150 × (1000 / 3600) = 41.67 m/s
Step 3: Calculate time takenTime = Distance / Speed= 2000 / 41.67 = 48 seconds
Final Answer:The time taken by the slower train to cross the faster one is 48 seconds