Example 1 · level 1
A 570 m long Vande Bharat Express on the Delhi–Agra route runs at 108 km/h. How many seconds does it take to cross a signal pole?
Show solution
- Speed = 108 × 5/18 = 30 m/s.
- Time = 570 ÷ 30 = 19 s.
Answer: 19 seconds
SSC & BANK EXAMS: QUANTITATIVE APTITUDE · TIME, SPEED & DISTANCE
Trains crossing poles, platforms and other trains
km/h × 5/18 = m/s. Distance = train length (+ platform or other train). Opposite directions: add speeds; same direction: subtract.
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Worked examples
Example 2 · level 2
A 60 m long goods train running at 36 km/h crosses a 130 m long platform at Ahmedabad station. How many seconds does it take?
Show solution
- Distance = 60 + 130 = 190 m.
- Speed = 36 × 5/18 = 10 m/s.
- Time = 190 ÷ 10 = 19 s.
Answer: 19 seconds
Example 3 · level 3
Two trains, 420 m and 420 m long, run on parallel tracks between Ahmedabad and Vadodara at 108 km/h and 36 km/h in opposite directions. How many seconds do they take to cross each other completely?
Show solution
- Relative speed = 144 km/h × 5/18 = 40 m/s.
- Distance = 420 + 420 = 840 m.
- Time = 840 ÷ 40 = 21 s.
Answer: 21 seconds