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26.
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
  • C.
    120 m
  • B.
    100 m
  • D.
    180 m
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Answer : [D]
Explanation :
 
Relative speed = (36 + 45) km/hr =   81 x
5
18
   m/sec =  
45
2
   m/sec.      
 
Length of train =  
45
2
 x 8    m = 180 m.  
 
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27.
How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 lm/hr?
  • A.
    25
  • C.
    40
  • B.
    30
  • D.
    45
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Speed of train relative to man = (63 – 3) km/hr = 60 km/hr
 
 =    60 x
5
18
   m/sec =
50
3
 m/sec.  
 
 
  Time taken to pass the man =   500 x
3
50
   sec = 30 sec.    
 
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28.
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
  • A.
    9
  • C.
    10
  • B.
    9.6
  • D.
    10.8
  • Answer & Explanation
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Answer : [D]
Explanation :
 

Relative speed = (60 + 40 ) km/hr =

  100 x
5
18
   m/sec =  
250
9
   m/sec.  
 
Distance covered in crossing each other = (140 + 160) m = 300 m
 
Time taken   300 x
9
250
   sec =
54
5
 sec = 10.8 sec.  
 
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29.
A train X starts from Meerut at 4 p.m. and reaches Ghaziabad at 5 p.m. while another trainY starts from Ghaziabad at 4 p.m. and reaches Meerut at 5.30 p.m. The two trains will cross each other at:
  • A.
    4.36 p.m.
  • C.
    4.48 p.m.
  • B.
    4.42 p.m.
  • D.
    4.50 p.m.
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Suppose, the distance between Meerut and Ghaziabad is x km.
 
Time taken by X to cover x km = 1 hour.
 
Time taken by Y to cover x km =
3
2
 hours.  
 
 
   Speed of X = x kmph, Speed of Y =  
2x
3
   kmph.    
 
Let them meet y hours after 4 p.m. Then,
 

xy +

2xy
3
 = x
 
y   1 +
2
3
   = 1
 
y =
3
5
 hours =  
3
5
 x 60    min = 36 min.    
 
So, the two trains meet at 4.36 p.m.
 
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30.
A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train.
  • A.
    70 km/hr
  • C.
    79.2 km/hr
  • B.
    72 km/hr
  • D.
    80 km/hr
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Speed =  
132
6
   m/sec =   22 x
18
5
   km/hr = 79.2 km/hr.  
 
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