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- 1. A train 100 m long is running at the speed of 30 km / hr. Find the time taken by it to pass a man standing near the railway line in seconds
A.5 sec
B.6 sec
C.7 sec
D.8 sec
Answer & Explanation
Answer: Option B
Explanation:Speed of the train = (60 x 5/18m / sec = 50/3 m/ sec.
Distance moved in passing the standing man = 100 m.
Required time taken = 100/(50/3) = (100 ×(3/50)) sec =6 sec
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- 2. A train 200 m long is running with a speed of 54 kmph. In what will it pass a car whose speed at 36 kmph in the direction opposite to that in which the train is going
A.8 sec
B.10 sec
C.12 sec
D.14 sec
Answer & Explanation
Answer: Option A
Explanation:Speed of the train relative to man = (54 + 36) kmph
= 90 ×5/18 m/sec = 25 m/sec.
Time taken by the train to cross the car = Time taken by it to cover 200 m
at 25 m / sec = (200 ×1/25) sec = 8 sec
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- 3. Two trains 120 meters and 150 meters long are running in the same direction with speeds of 92 km/hr, 56km/hr. In how much time will the first train cross the second
A.37 sec
B.22 sec
C.27 sec
D.35sec
Answer & Explanation
Answer: Option C
Explanation:Relative speed of the trains = (92 - 56) km/hr = 36 km/hr
= (36× 5/18) m/sec = 10 m/sec.
Time taken by the trains to cross each other
= Time taken to cover (120 + 150) m at 10 m /sec = (270/10) sec = 27 sec.
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- 4. A train is moving at a speed of 132 km/hr. If the length of the train is 100 meters, how long will it take to cross a railway platform 175 meters long
A.6 ½ sec
B.7 ½ sec
C.8 sec
D.8 ½ sec
Answer & Explanation
Answer: Option B
Explanation:Speed of train = 132 ×(5/18) m/sec = 110/3 m/sec.
Distance covered in passing the platform = (100 + 175) m = 275 m.
Time taken =275 ×(3/110) sec =15/2 sec = 7 ½ sec
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- 5. A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed
A.50 km
B.52 km
C.54 km
D.56 km
Answer & Explanation
Answer: Option C
Explanation:Let the length of the train be x meters,
Then, the train covers x meters in 8 seconds and (x + 180) meters in 20 sec
x/8=(x+180)/20 ⇔ 20x = 8 (x + 180) x = 120
Length of the train = 120 m.
Speed of the train = (120/8)m / sec = m / sec = (15 ×18/5)kmph = 54 km
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