Home » Aptitude » Speed, Time and Distance » Question
  1. A train running at the speed of 72 km/hr passes a tunnel completely in 3 minutes. While inside the tunnel, it meets another
    train of
    3
    of its length coming from opposite
    4
    direction at the speed of 90km/hr and passes it completely in
    3
    1
    seconds. Find the length of the tunnel.
    2
    1. 3510 metre
    2. 3500 metre
    3. 3400 metre
    4. 3600 metre
Correct Option: A

Trains are running in opposite directions.
∴  Relative speed = 72 + 90
= 162 kmph

= 162 ×
5
= 45 m/sec
18

Let the length of the first train be = x metre.
∴  Length of the second train
=
3
x meter.
4

Now,
distance travelled in 3
1
seconds at 45 m/sec.
2

= 45 ×
7
=
315
metre
22

This distance is equal to sum of the lengths of trains.
∴  x +
3x
=
315
42

⇒ 
4x + 3x
=
315
42

⇒ 
7x
=
315
42

⇒  x =
315
×
4
= 90
27

Hence, the length of the first train = 90 metre.
Speed of first train = 72 kmph
= 72 ×
5
= 20 m/sec
18

Time taken by the first train to cross the tunnel
= 3 minutes = 180 seconds
∴  Distance covered by it in 180 seconds
= 180 × 20 = 3600 metre
∴  Length of (first train + tunnel) = 3600 metre
∴  Length of tunnel
= 3600 – 90 = 3510 metre



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