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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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
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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
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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
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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
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