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11.
In what time will a train 100 metres long cross an electric pole, if tis speed be 144 km/hr?
  • A.
    2.5 seconds
  • C.
    5 seconds
  • B.
    4.25 seconds
  • D.
    12.5 seconds
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Answer : [A]
Explanation :
 
Speed =   144 x
5
18
   m/sec = 40 m/sec.    
 
Time taken =  
100
40
   sec = 2.5 sec.    
 
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12.
A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
  • A.
    69.5 km/hr
  • C.
    79 km/hr
  • B.
    70 km/hr
  • D.
    79.2 km/hr
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Let the length of the train be x metres and its speed by y m/sec.
 
They,
x
y
 = 8
 
 x = 8y  
 
Now,
x + 264
20
= y
 
8y + 264 = 20y
 
 y = 22.    
 
 
 Speed = 22 m/sec =   22 x
18
5
   km/hr = 79.2 km/hr.    
 
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13.
Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:
  • A.
    30 km/hr
  • C.
    60 km/hr
  • B.
    45 km/hr
  • D.
    75 km/hr
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let the speed of the slower train be x m/sec.
 
Then, speed of the faster train = 2x m/sec.
 
Relative speed = (x + 2x) m/sec = 3x m/sec.
 
 
 
(100 + 100)
8
 = 3x
 
24x = 200
 
x =
25
3
     
 
So, speed of the faster train =
50
3
 m/sec =  
50
3
x
18
5
   km/hr = 60 km/hr.    
 
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14.
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
  • A.
    120 m
  • C.
    300 m
  • B.
    240 m
  • D.
    None of these
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Answer : [B]
Explanation :
 
Speed =   54 x
5
18
   m/sec = 15 m/sec.    
 
Length of the train = (15 x 20) m = 300 m.
 
Let the length of the platform be x meters.
 
Then,
x + 300
36
 = 15
 
x + 300 = 540
 
x = 240 m.    
 
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15.
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
  • A.
    120 meters
  • C.
    324 meters
  • E.
    None of these
  • B.
    180 meters
  • D.
    Cannot be determined
  • Answer & Explanation
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Answer : [E]
Explanation :
 
Speed =   60 x
5
18
   m/sec =  
50
3
   m/sec.          
 
Length of the train = (Speed x Time) =  
50
3
 x 9    m = 150 m.        
 
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