Question

A train is traveling at a speed of 96 kilometers per hour. It takes 3 seconds to enter a tunnel and 30 seconds more to pass through it completely. Which of the following statements are correct?

A. Length of the tunnel is 100 meters

B. Tunnel is longer than train

C. Train is longer than the tunnel

D. Length of the train is 80 meters

E. Length of the tunnel is 800 meters

Choose the correct answer from the options given below:

1. A, C and D only
2. A and B only
3. C and D only
4. B, D and E only

Answer 1

Correct Answer - Option 4 : B, D and E only

Given:

Speed of train = 96 km/h

time is taken to cross itself = 3 sec

time is taken to cross tunnel = 33 seconds

Formulae required:

Distance = speed × time

a km/hr = a × 5/18 m/sec

Calculations:

convert 96km/hr in to meter/sec = 96 × 5/18

⇒ 80/3 meters/seconds

Length of train = 80/3 × 3

⇒ 80 meters

Distance covered in 33 seconds  = 80/3 × 33

⇒ 880 meters

Length of tunnel = Distance covered in 33 seconds - length of train 

⇒ 880 - 80 = 800 meters

∴ Statement B, C and E are correct.