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1.
A man walks to a railway station at 3
1
3
 km/hr to catch 10 o’clock train but misses it by
3 minutes, the next day he walks at 3
1
2
 km/hr to catch the same train but misses it again
by 1 minute. Find the distance to the station.
  • A.
    2 km
  • C.
    		 2 1  km
    2
  • B.
    		 2 1  km
    3
  • D.
    		 2 1  km
    4
  • Answer & Explanation
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Answer : [B]
Explanation :
Let the distance to the station be x km.
Given,
x
10/3
-
3
60
=
x
7/2
-
1
60
   
3x
10
-
2x
7
=
3
60
-
1
20
=>
21x - 20x
70
=
2
60
 
x =
2 x 70
60
=
7
3
km = 2
1
3
 km    
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2.
A person covers the distance from P to Q at the speed of 3 km/hr. From Q to P he covers the distance at 6 km/hr. What is the average speed per hour?
  • A.
    3.5 km/hr
  • C.
    5 km/hr
  • B.
    4.5 km/hr
  • D.
    4 km/hr
  • Answer & Explanation
  • Report
Answer : [D]
Explanation :
Average speed =
2xy
x + y
=
2 x 3 x 6
3 + 6
=
36
9
 = 4km/hr
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3.
A man has to reach a place 40 km away. He walks at the rate of 4 km/hr for the first 16 km and then travels in a cart for the rest of the journey. Had he teavelled by cart for the first 16 km and covered the remaining distance on foot at 4 km/hr he would have taken an hour longer to complete the journey. Find the speed of the cart.
  • A.
    10 km/hr
  • C.
    6 km/hr
  • B.
    12 km/hr
  • D.
    8 km/hr
  • Answer & Explanation
  • Report
Answer : [D]
Explanation :
Let the speed of the cart be x km/hr
Then duration of journey in the first case =
16
4
+
24
x
 
Duration of journey in the second case =
16
x
+
24
4
 
Given,
16
4
+
24
x
=
16
x
+
24
4
 - 1
24
x
-
16
x
= 1 =>
8
x
 = 1 => x = 8
Speed of cart = 8 km/hr
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4.
A man standing on a 170 m long platform watches that a train takes 71/2 seconds to pass him and 21 seconds to cross the platform. Find the length of the train and its speed.
  • A.
    		 94 4 m, 12 16  m/sec  
    9 27  
  • C.
    		 93 2 m, 11 12  m/sec  
    9 13  
  • B.
    		 94 4  m, 12 m/sec
    9
  • D.
    96 m, 14 m/sec
  • Answer & Explanation
  • Report
Answer : [D]
Explanation :
 
Ratio of speeds = 4 : 3 : 5
 
 
Ratio of times taken =
1
4
:
1
3
:
1
5
  =  15 : 20 : 12      
 
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5.
A motorist covers the distance of 60 km from A to B at a speed of 20 km/hr and return journey from B to A at a speed of 30 km/hr. His average speed of entire journey is
  • A.
    22 km/hr
  • C.
    26 km/hr
  • B.
    24 km/hr
  • D.
    25 km/hr
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
In both the way distance is same.
 
 Average speed =
2xy
x + y
=
2 x 20 x 30
20 + 30
=
1200
50
 = 24 km/hr  
Where x and y are different speeds.
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