Arithmatical - Problems on Trains

DIRECTIONS : Problems based on Trains.
16. Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds. The length of the faster train is
  A.  80 m
  B.  100 m
  C.  120 m
  D.  180 m
Solution
Relative speed = (36 + 45) km/hr
= (81 x 5/18) m/sec
= (45 / 2) m/sec
Length of the train = (45 / 2 x 8) m
= 180 m.
17. A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train
  A.  70 km/hr
  B.  72 km/hr
  C.  79.2 km/hr
  D.  80 km/hr
Solution
Speed= (132 / 6) m/sec
= (22 x 18 /5)km/hr
= 79.2 km/hr

18. A train 240 m long passed a pole in 24 seconds. How long will it take to pass a platform 650 m long?
  A.  65 sec
  B.  89 sec
  C.  100 sec
  D.  150 sec
Solution
Speed = (240 / 24) m/sec
= 10 m/sec
Required time = (240 + 650/10) sec
= 89 sec.
19. A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr ?
  A.  13 33
  B.  26.67
  C.  40
  D.  66.67
Solution
speed =(150 + 300 / 40.5)m/sec
=(450/40.5x18/ 5) km/hr
= 40 km/hr
20. In what time will a train 100 metres lomg cross an electric pole, if its speed be 144 km/hr?
  A.  2.5 seconds
  B.  4.25 seconds
  C.  5 seconds
  D.  12.5 seconds
Solution
Speed = (144 x 5 / 18)m/sec
Time taken = (100 /40 ) sec
= 2.5 sec
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