How long will a train 125 m long travelling at 75 kmph take to overtake…
2025
How long will a train 125 m long travelling at 75 kmph take to overtake another train 175 m long travelling at 55 kmph ?
- A.
58 sec
- B.
62 sec
- C.
54 sec
- D.
48 sec
Attempted by 14 students.
Show answer & explanation
Correct answer: C
Answer: 54 sec
Total distance to be covered when overtaking = length of first train + length of second train = 125 m + 175 m = 300 m.
Relative speed (same direction) = 75 km/h − 55 km/h = 20 km/h. Convert to m/s: 20 × 5/18 = 50/9 m/s ≈ 5.56 m/s.
Time = distance / relative speed = 300 m ÷ (50/9 m/s) = 300 × 9 / 50 = 54 s.
Therefore the train traveling at 75 km/h takes 54 seconds to overtake the other train.