Two trains leaving from two station 50 miles away from each other with…
2023
Two trains leaving from two station 50 miles away from each other with constant speed of 60 miles per hour, approaches towards each other on different tracks. If length of each train is 1/6 mile. When they meet, how much time they need to pass each other totally ?
- A.
10 sec
- B.
20 sec
- C.
30 sec
- D.
40 sec
Attempted by 22 students.
Show answer & explanation
Correct answer: A
Answer: 10 sec
Key steps:
Total distance to clear each other = sum of train lengths = 1/6 + 1/6 = 1/3 mile.
Relative speed (approaching each other) = 60 + 60 = 120 miles/hour.
Time = distance ÷ speed = (1/3) ÷ 120 = 1/360 hours = (1/360) × 3600 seconds = 10 seconds.
Note: The initial 50-mile separation is irrelevant for the time asked here because the question states "When they meet" and asks how long they take to pass each other completely after meeting. Only the combined train lengths and relative speed matter for that interval.