Two trains meeting — Aptitude Question
Two trains meeting: Two trains start at the same time from stations 330 km apart and travel towards each other at… Answer and worked solution on CodeKairo.
- Topic: Time, Speed & Distance
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 45 seconds
Question
Two trains start at the same time from stations 330 km apart and travel towards each other at 60 km/h and 50 km/h. After how long do they meet?
Options
- 2 h
- 3 h
- 4 h
- 5 h
Show the answer and the worked solution
Correct answer: B. 3 h
Worked solution
- Closing speed = 60 + 50 = 110 km/h.
- Time = 330 ÷ 110 = 3 hours.
Answer: 3 h.
The idea
Approaching objects close the gap at the sum of their speeds. The meeting point is not needed unless the question asks for it.
Shortcut. 330 = 3 × 110, the combined speed, so they meet after 3 h; check: 180 km + 150 km = 330 km.
Common trap. 5 h comes from timing the faster train alone over the whole gap — 330 ÷ 60 = 5.5 h, nearest option 5 h. Both trains close the gap, at 60 + 50 = 110 km/h, so they meet in 330 ÷ 110 = 3 h.