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Problems on Trains - General Aptitude

Q1:

A train travelling at a speed of 75 mph enters a tunnel 31/2 miles long. The train is 1/4 mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

A 2.5 min

B 3 min

C 3.2 min

D 3.5 min

ANS:B - 3 min

Total distance covered
= ( 7 + 1 ( miles
2 4
 
= 15 miles.
4
Therefore Time taken
= ( 15 ( hrs
4 x 75
 
= 1 hrs
20
 
= ( 1 x 60 ( min.
20
  = 3 min.