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11.
A can run 500 m in 30 sec and B in 35 sec. How many m start can A give to B in a km race so that the race may end in a dead-heat?
  • A.
    139    		 5  
    7  
  • C.
    142    		 6  
    7  
  • B.
    138    		 5  
    7  
  • D.
    140    		 5  
    7  
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Time taken by A to run 1 km = 30 x 2 = 60 sec.
 
Time taken by B to run 1 km = 35 x 2 = 70 sec.
 
 
  A can give B a start of (70 - 60) = 10 sec.  
 
  In 35 sec B runs 500 m      
 
 
  In 10 sec B runs =
500
35
x 10 =
1000
7
 = 142
6
7
 m
 
So, A can give B a start of 142
6
7
 metres in a km race.    
 
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12.
In a km race A beats B by 100 m and C by 200 m, by how much can B beat C in a race of 1350 m?
  • A.
    150 m
  • C.
    1200 m
  • B.
    120 m
  • D.
    210 m
  • Answer & Explanation
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Answer : [A]
Explanation :
 
While A runs 1000 m, B runs 1000 – 100 = 900 m and C runs 1000 – 200 = 800 m.
 
 
  While B runs 900 m, C runs 800 m.  
 
 
  While B runs 1350 m; C runs
800
900
 x 1350 = 1200 m    
 
 
  B can beat C by 1350 - 1200 = 150 m.  
 
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13.
In a race of 600 m, A can beat B by 60 m and in a race of 500 m, B can beat C by 50 m. By how many m will A beat C in a race of 400 m?
  • A.
    78 m
  • C.
    76 m
  • B.
    56 m
  • D.
    86 m
  • Answer & Explanation
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Answer : [C]
Explanation :
 
If A runs 600 m, B runs 600 – 60 or, 540 m
 
If A runs 400 m, B runs  =
540 x 400
600
 = 360 m      
 
Now, when B runs 500 m, C runs 500 – 50 = 450 m
 
 
  When B runs 360 m, C runs =
450 x 360
500
 = 324 m    
 
 
  A beats C by 400 - 324 = 76 m.  
 
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14.
In a 300 m race A beats B by 22.5 m or 6 seconds. B’s time over the course is :
  • A.
    86 sec
  • C.
    76 sec
  • B.
    80 sec
  • D.
    None of these
  • Answer & Explanation
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Answer : [B]
Explanation :
 
B runs
45
2
 m in 6 sec.    
 
 
  B covers 300 m in   6 x
2
45
 x 300    sec = 80 sec.  
 
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15.
In a km race A beats B by 25 m or 5 sec, find the time taken by A to complete the race.
  • A.
    3 min. 15 sec
  • C.
    2 min 30 sec
  • B.
    4 min. 20 sec
  • D.
    5 min. 10 sec
  • Answer & Explanation
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Answer : [A]
Explanation :
 
B runs 25 m in 5 sec
 
 
  B's time to cover one km =
5
25
 x 100
 
=  200 sec      
 
  A's time to cover one km = 200 - 5      
 
  = 195 sec      
 
  = 3 min 15 sec.      
 
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