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91. A soldier fired two bullets at an interval of 335 seconds moving at a uniform speed V1. A terrorist who was running ahead of the soldier in same direction, hears the two shots at an interval of 330 seconds. If the speed of sound is 1188 km/h, then who is the faster and how much?
Soldier = 18 km/h
Solution:
Soldier = 18 km/h
92. A coolie standing on a railway platform observe that a train going in one direction takes 4 second to pass him. Another train of same length going in opposite direction takes 5 seconds to pass him. The time taken (in seconds) by two train to cross each other will be:
Solution:
Let length of each train be X m, then
93. A dog start chasing to a cat 2 hour later. It takes 2 hours to dog to catch the cat. If the speed of the dog is 30 km/h. what is the speed of cat?
Time taken =
2 =
S = 15 km/h
Solution:
Let speed of the cat be S km/h.Time taken =
2 =
S = 15 km/h
94. A car traveled first 36 km at 6 km/h faster than the usual speed, but it returned the same distance at 6 km/h slower than usual speed. I the total time taken by car is 8 hours, for how many hours does it traveled at the faster speed ?
Total time taken,
= 8 hours
On solving the equation, we get
S = 12, -3
Then possible value of S = 12 km/h.
Thus, time taken by car at faster speed = = 2 hours
Solution:
Let the original speed be S then,Total time taken,
= 8 hours
On solving the equation, we get
S = 12, -3
Then possible value of S = 12 km/h.
Thus, time taken by car at faster speed = = 2 hours
95. Roorkee express normally reaches its destination at 50 km/h in 30 hours. Find the speed at which it travels to reduce the time by 10 hours?
50 × 30 = S × 20
S = 75 km/h
Solution:
let required speed be S km/h50 × 30 = S × 20
S = 75 km/h
96. A train 350 m long is running at the speed of 36 km/h. If it crosses a tunnel in 1 minute, the length of the tunnel in metres:
Time =
60 =
x = 250 meters
Therefore length of tunnel is 250 meters
Solution:
Let the length of the tunnel be x mTime =
60 =
x = 250 meters
Therefore length of tunnel is 250 meters
97. If a 250 m long train crosses a platform of same length as that of the train in 25 seconds, then the speed of the train is:
=
=
= 20 m/sec
= 72 km/h
Solution:
Speed of train=
=
= 20 m/sec
= 72 km/h
98. A postman goes with a speed of 36 km/h what is the speed of postman in m/s?
Solution:
Speed = 36 km/h = = 10 m/s
99. Sabarmati express takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is :
Speed of train,
x = 90 m
Solution:
Let length of the train be x mSpeed of train,
x = 90 m
100. If two incorrect watches are set at 12:00 noon at correct time, when will both watches show the correct time for the first time given that the first watch gains 1 min in one hour and second watch looses 4 min in two hours.
It shows correct time when it creates difference of 12 hours.
So, to create difference of 12 hour, time required = = 30 days
Second watch:
It shows correct time when it creates difference of 12 hours.
So, to create difference of 12 hour, time required = = 15 days
Now, LCM of 30 and 15 gives the time when they show correct time together. Thus, required time = 30 days, at same time.
Solution:
First watch:It shows correct time when it creates difference of 12 hours.
So, to create difference of 12 hour, time required = = 30 days
Second watch:
It shows correct time when it creates difference of 12 hours.
So, to create difference of 12 hour, time required = = 15 days
Now, LCM of 30 and 15 gives the time when they show correct time together. Thus, required time = 30 days, at same time.
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