Where they meet — Time, Speed & Distance Aptitude Question
Where they meet: Two trains 300 km apart move towards each other at 40 km/h and 60 km/h. Answer and worked solution on CodeKairo.
- Topic: Time, Speed & Distance
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 60 seconds
Question
Two trains 300 km apart move towards each other at 40 km/h and 60 km/h. How far from the first station do they meet?
Options
- 100 km
- 120 km
- 150 km
- 180 km
Show the answer and the worked solution
Correct answer: B. 120 km
Worked solution
- Closing speed = 100 km/h, so they meet after 300 ÷ 100 = 3 hours.
- The first train covers 40 × 3 = 120 km.
Answer: 120 km.
The idea
Find the meeting time first, then apply it to whichever train the question names. The two distances must add to the original gap.
Shortcut. The gap splits in the ratio of the speeds, 40 : 60 = 2 : 3, so the first train covers 2/5 × 300 = 120 km.
Common trap. 180 km — the second train's share (60 × 3), which is measured from the other station.