Arithmatical - Problems on Trains

DIRECTIONS : Problems based on Trains.
26. A speed of 14 metres per second is the same as
  A.  28 km.hr
  B.  46.6 km/hr
  C.  50.4 km/hr
  D.  70 km/hr
Solution
Speed= 14 m / sec
=(14 x 18 / 5)km/hr
= 50.4 km/hr
27. A train travelling at a speed of 75 mph enters a tunnel 3 1/2 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
Solution
Total distance covered = (7/2 + 1/4) miles
= 15 / 4 miles
= (18 x 5 /18) km/hr
Time taken = (15 / 4 x 75) hrs
= 1 /20 hrs
= (1 / 20 x 60)
= 3 min.

28. A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
  A.  320 m
  B.  350 m
  C.  650 m
  D.  None of these
Solution
Speed = (300 / 18) m/sec
= (50 / 3) m/sec.
Length of the platform be x metres.
Then = x + 300 /39
= 50 / 3 m/sec
= 3 (x + 300) =1950 .
= 350 m
29. A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is
  A.  70 m
  B.  80 m
  C.  90 m
  D.  100 m
Solution
Let the length of the train be x metres.
= x + 162 / 18
= x + 120 / 15
= 15( x+162)
= 18(x+120)
x= 90.
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