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36.
A speed of 14 meters per second is the same as:
  • A.
    28 km/hr
  • C.
    50.4 km/hr
  • B.
    46.6 km/hr
  • D.
    70 km/hr
  • Answer & Explanation
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Answer : [C]
Explanation :
 
14 m/sec =   14 x
18
5
   km/hr = 50.4 km/hr.    
 
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37.
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. First train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
  • A.
    23 m
  • C.
    27 m
  • B.
    23
    2  m  
    9  
  • D.
    27
    7  m  
    9  
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Relative speed = (40 20) km/hr =   20 x
5
18
   m/sec =  
50
9
   m/sec.        
 
Length of faster train =  
50
9
 x 5    m =
250
9
 m = 27
7
9
 m.    
 
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38.
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
  • C.
    3.2 min
  • B.
    3 min
  • D.
    3.5 min
  • Answer & Explanation
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Answer : [B]
Explanation :
 

Total distance covered =

 
7
2
+
1
4
   miles =
15
4
 miles.
 
 
  Time taken =  
15
4 x 75
   hrs =
1
20
 hrs =  
1
20
 x 60    min. = 3 min.        
 
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39.
Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. In how much time will they cross each other, if they are sunning the same direction?
  • A.
    72 sec
  • C.
    192 sec
  • B.
    132 sec
  • D.
    252 sec
  • Answer & Explanation
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Answer : [D]
Explanation :
 

Relative speed = (45 40 ) kmph = 5 kmph =

  5 x
5
18
   m/sec =  
25
18
   m/sec.  
 
Total distance covered = Sum of lengths of trains = 350 m.
 
 
  Time taken   350 x
18
25
   sec = 252 sec.    
 
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40.
A train crosses a platform 100 m long in 60 seconds at a speed of 45 km/hr. The time taken by the train to cross an electric pole is :
  • A.
    8 sec
  • C.
    1 minute
  • B.
    52 sec
  • D.
    Data inadequate
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Speed =   45 x
5
18
   m/sec =  
25
2
   m/sec.  
 
Let the length of the train be x metres.
 
Then,
 
x + 100
 
25
2
 
 = 60   or   x = 650 m
 
     
 
 
  Time taken by the train to cross an electric pole =   650 x
2
25
   sec = 52 sec.        
 
 
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