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46.
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
  • A.
    5 sec
  • C.
    7 sec
  • B.
    6 sec
  • D.
    10 sec
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Answer : [B]
Explanation :
 
Speed of train relative to man = (60 + 6) km/hr = 66 km / hr
 
  66 x
5
18
   m/sec =  
55
3
   m/sec.  
 
 
  Time taken to pass the man =   110 x
3
55
   sec = 6 sec.    
 
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47.
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
  • A.
    50 m
  • C.
    80 m
  • B.
    72 m
  • D.
    82 m
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Answer : [A]
Explanation :
 
Let the length of each train be x metres
 
Then, distance covered = 2x metres.
 
Relative speed = (46 – 36) km/hr =   10 x
5
18
   m/sec =  
25
9
   m/sec.  
 
 
 
2x
36
=
25
9
 
2x = 100
 
x = 50.  
 
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48.
Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
  • A.
    10
  • C.
    15
  • B.
    12
  • D.
    20
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Speed of the first train =  
120
10
   m/sec = 12 m/sec.    
 
Speed of the second train =  
120
10
   m/sec = 8 m/sec.    
 
Relative speed = (12 + 8)  = m/sec = 20 m/sec.
 
 
  Required time =
(120 + 120)
20
 sec = 12 sec.    
 
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