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21.
A train moves with a speed of 108 kmph. Its speed in meters per second is:
  • A.
    10.8
  • C.
    30
  • B.
    18
  • D.
    38.8
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Answer : [C]
Explanation :
 
108 kmph =   108 x
5
18
   m/sec = 30 m/sec.    
 
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22.
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
  • A.
    9 a.m.
  • C.
    10.30 a.m.
  • B.
    10 a.m.
  • D.
    11 a.m.
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Suppose they meet x hours after 7 a.m.
 
Distance covered by A in x hours = 20x km.
 
Distance covered by B in (x -1) hours = 25 (x 1) km.
 
 
 20x + 25 (x - 1) = 110     45x = 135     x = 3.    
 
So, they meet at 10 a.m.
 
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23.
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
  • A.
    12 sec
  • C.
    48 sec
  • B.
    24 sec
  • D.
    60 sec
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Relative speed = (45 + 30) km/hr =   75 x
5
18
   m/sec =  
125
6
   m/sec.  
 
Distance covered = (500 + 500) m = 1000 m.
 
Required time =   1000 x
6
125
   sec = 48 sec.  
 
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24.
A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is
  • A.
    48 km/hr
  • C.
    66 km/hr
  • B.
    54 km/hr
  • D.
    82 km/hr
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the speed of the second train be x km/hr.
 
Relative speed = (x + 50) km/hr =   (x + 50) x
5
18
   m/sec =
 
250 + 5x
18
 
 m/sec.          
 
Distance covered = (108 + 112) = 220 m.
 
 
 
 
220
 
250 + 5x
18
 
 =  6
 
250 + 5x = 660
 
x = 82 km/hr.    
             
       
 
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25.
The length of a train and that of a platform are equal. If with a speed of 90 km/hr, the train crosses the platform in one minute, then the length of the train (in metres) is:
  • A.
    500
  • C.
    750
  • B.
    600
  • D.
    900
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Speed =   90 x
5
18
   m/sec = 25 m/sec; Time = 1 min. = 60 sec.    
 
Let the length of the train and that of the platform be x metres.
 
Then,
2x
60
 = 25
 
x =
25 x 60
2
  = 750.    
 
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