A train runs at 60 km/h and passes completely through a tunnel 1.5 km long in 2 minutes. What is the length of the train (in metres)?

Difficulty: Easy

Correct Answer: 500 m

Explanation:


Introduction / Context:
While passing a tunnel, the train’s front travels train_length + tunnel_length. Use distance = speed * time (consistent units) to find the distance covered in the 2-minute interval, then subtract the tunnel length to get the train length.


Given Data / Assumptions:

  • Speed = 60 km/h.
  • Tunnel length = 1.5 km.
  • Time = 2 min = 1/30 h.


Concept / Approach:
Total distance covered in time T: S = v * T. Train length = S − tunnel_length (in km), then convert to metres.


Step-by-Step Solution:

S = 60 * (1/30) = 2 km.Train length = 2 − 1.5 = 0.5 km = 500 m.


Verification / Alternative check:
At 60 km/h, 2 minutes corresponds to 2 km—consistent.


Why Other Options Are Wrong:
250/1000/1500 m imply tunnel pass times other than 2 minutes.


Common Pitfalls:
Using only tunnel length instead of tunnel + train while timing.


Final Answer:
500 m

More Questions from Time and Distance

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion