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6.
A man walks at the speed of 4 km/hr and runs at the speed of 8 km/hr. How much time will the man require to cover a distance of 24 kms, if he completes half of his journey walking and half of his journey running?
  • A.
    12 hours
  • C.
    4 1/2 hours
  • B.
    5 hours
  • D.
    3 hours
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Answer : [C]
Explanation :
Required time = Time taken for walking + Time taken for running
  =
12
4
+
12
8
= 3 +
3
2
=
9
2
 = 4
1
2
 hours  
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7.
Two trains are traveling in the same direction with speed of 30 km/hr and 58 km/hr respectively. A man in the slower train passes the faster train in 18 seconds. Find the length of the faster train.
  • A.
    120 km
  • C.
    100 m
  • B.
    140 km
  • D.
    70 km
  • Answer & Explanation
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Answer : [B]
Explanation :
Speed of the slower train = 30 km/hr
Speed of the faster train = 58 km/hr
As the train we are traveling in the same direction, relative speed = 58 - 30 = 28 km/hr
  = 28 x
8
18
=
70
9
 m/sec
 
Distance covered in 18 seconds, at this speed =
70
9
 x 18 = 140 m  
Length of the faster train = 140 m
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8.
A car after covering half of a distance of 100 km develops some engine trouble and later travels at half its original speed. As a result it arrives 2 hours later than its normal time. What was the original speed of the car?
  • A.
    40 km/hr
  • C.
    30 km/hr
  • B.
    25 km/hr
  • D.
    35 km/hr
  • Answer & Explanation
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Answer : [B]
Explanation :
Let the original speed of car be x km/hr
 
Normal time taken to cover 100 km =
100
x
 hours
Now, the car travels 50 km at x km/hr and another 50 km at x/2 km/hr
Given,
50
x
+
50
x/2
=
100
x
 + 2 =>
50
x
 = 2 => x = 25 km/hr    
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9.
In a 1000 m race, A can beat B by 20 m, While in a 500 m race B can beat C by 15 m. By what distance will A beat C in a 100 m race?
  • A.
    4.92 m
  • C.
    4 m
  • B.
    4.94 m
  • D.
    4.90 m
  • Answer & Explanation
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Answer : [B]
Explanation :
In a 1000 m race, when A runs 1000 m B runs 980 m.
 
When A runs 100 m, B runs 98 m  
In a 500 m race when B runs 500 m, C runs 485 m
When B runs 98 m, C can run
485 x 98
500
 = 95.06 m  
When A runs 100 m, B runs 98 m and C runs 95.06 m
 
A beats C by 100 95.06 m = 4.94 m  
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10.
A plane takes 4 hours to go 3600 km with the wind. The return flight takes 6 hours. Assuming that the wind speed and direction have not changed, calculate the speed of the plane.
  • A.
    700 km/hr
  • C.
    750 km/hr
  • B.
    600 km/hr
  • D.
    150 km/hr
  • Answer & Explanation
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Answer : [C]
Explanation :
Let x km/hr be the speed of the plane and y km/hr be the speed of the wind.
Speed during onward flight = x + y
Speed during onward return flight = x y
3600
x + y
= 4,
3600
x - y
 = 6
4x + 4y = 3600 => x + y = 900      
6x - 6y = 3600 => x - y = 600      
Solving 2x = 1500 => x = 750 km/hr      
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