Q. A train is moving at 72 km/h and passes a platform in 30 seconds. What is the length of the platform if the train is 200 meters long?
A.
200 m
B.
300 m
C.
400 m
D.
500 m
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Solution
Speed in m/s = 72 * (1000/3600) = 20 m/s. Distance = Speed × Time = 20 m/s × 30 s = 600 m. Length of platform = 600 m - 200 m = 400 m.
Correct Answer: B — 300 m
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Q. A train is moving at 90 km/h and a bird flies at 45 km/h in the opposite direction. What is the speed of the bird relative to the train?
A.
135 km/h
B.
45 km/h
C.
90 km/h
D.
135 km/h
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Solution
Relative speed = Speed of train + Speed of bird = 90 km/h + 45 km/h = 135 km/h.
Correct Answer: A — 135 km/h
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Q. A train leaves a station and travels at 90 km/h. Another train leaves the same station 30 minutes later and travels at 120 km/h. How far from the station will they meet?
A.
90 km
B.
120 km
C.
150 km
D.
180 km
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Solution
Let the distance be d. Time taken by first train = d/90. Time taken by second train = d/120. Setting up the equation gives d = 150 km.
Correct Answer: C — 150 km
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Q. A train leaves a station and travels at a speed of 80 km/h. How far will it travel in 3 hours? (2022)
A.
200 km
B.
240 km
C.
260 km
D.
300 km
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Solution
Distance = Speed × Time = 80 km/h × 3 h = 240 km.
Correct Answer: B — 240 km
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Q. A train leaves a station and travels at a speed of 90 km/h. How far will it travel in 2.5 hours?
A.
200 km
B.
225 km
C.
250 km
D.
300 km
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Solution
Distance = speed × time = 90 km/h × 2.5 h = 225 km.
Correct Answer: B — 225 km
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Q. A train leaves a station and travels at a speed of 90 km/h. How long will it take to travel 270 km?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
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Solution
Time = Distance / Speed. Here, time = 270 km / 90 km/h = 3 hours.
Correct Answer: B — 3 hours
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Q. A train leaves a station at 2 PM traveling at 80 km/h. If it travels for 3 hours, at what time will it arrive at the next station? (2022)
A.
4 PM
B.
5 PM
C.
6 PM
D.
7 PM
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Solution
Departure time = 2 PM, travel time = 3 hours. Arrival time = 2 PM + 3 hours = 5 PM.
Correct Answer: C — 6 PM
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Q. A train leaves a station at 70 km/h. Another train leaves the same station 30 minutes later at 90 km/h. How far from the station will they meet?
A.
70 km
B.
90 km
C.
100 km
D.
110 km
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Solution
Let the distance be d. Time taken by first train = d/70, second train = d/90. They meet when d/70 = d/90 + 0.5. Solving gives d = 100 km.
Correct Answer: C — 100 km
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Q. A train leaves a station at 80 km/h and another train leaves the same station 30 minutes later at 100 km/h. How far from the station will they meet?
A.
100 km
B.
120 km
C.
150 km
D.
180 km
Show solution
Solution
Let the time taken by the first train be t hours. Distance = speed * time. 80t = 100(t - 0.5). Solving gives t = 2 hours, so distance = 80 * 2 = 160 km.
Correct Answer: B — 120 km
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Q. A train moving at 72 km/h applies brakes and comes to a stop in 10 seconds. What is the acceleration of the train?
A.
-2 m/s²
B.
-3 m/s²
C.
-4 m/s²
D.
-5 m/s²
Show solution
Solution
First convert speed to m/s: 72 km/h = 20 m/s. Using the formula: a = (v - u) / t = (0 - 20) / 10 = -2 m/s².
Correct Answer: C — -4 m/s²
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Q. A train moving at 72 km/h applies brakes and comes to a stop in 5 seconds. What is the deceleration? (2023)
A.
2 m/s²
B.
3 m/s²
C.
4 m/s²
D.
5 m/s²
Show solution
Solution
First convert speed to m/s: 72 km/h = 20 m/s. Deceleration = (final velocity - initial velocity) / time = (0 - 20) / 5 = -4 m/s².
Correct Answer: C — 4 m/s²
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Q. A train moving at 72 km/h applies brakes and comes to a stop in 5 seconds. What is the acceleration of the train?
A.
-4 m/s²
B.
-5 m/s²
C.
-6 m/s²
D.
-7 m/s²
Show solution
Solution
First convert speed to m/s: 72 km/h = 20 m/s. Using the formula: acceleration = (final velocity - initial velocity) / time = (0 - 20) / 5 = -4 m/s².
Correct Answer: B — -5 m/s²
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Q. A train moving at 72 km/h overtakes a man walking at 6 km/h in the same direction. How fast does the train appear to be moving to the man?
A.
66 km/h
B.
72 km/h
C.
78 km/h
D.
84 km/h
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Solution
Relative speed = Speed of train - Speed of man = 72 km/h - 6 km/h = 66 km/h.
Correct Answer: A — 66 km/h
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Q. A train moving at 72 km/h passes a man walking at 6 km/h in the same direction. How fast does the train appear to be moving to the man?
A.
66 km/h
B.
72 km/h
C.
78 km/h
D.
84 km/h
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Solution
Relative speed = Speed of train - Speed of man = 72 km/h - 6 km/h = 66 km/h.
Correct Answer: A — 66 km/h
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Q. A train moving at 72 km/h passes a platform 300 m long. How long does it take to cross the platform completely?
A.
10 seconds
B.
15 seconds
C.
20 seconds
D.
25 seconds
Show solution
Solution
Total distance = Length of train + Length of platform. If length of train is L, time = (L + 300)/20 m/s. Assuming L = 300 m, time = (300 + 300)/20 = 30 seconds.
Correct Answer: B — 15 seconds
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Q. A train moving at a speed of 72 km/h applies brakes and comes to a stop in 5 seconds. What is the acceleration of the train?
A.
-4 m/s²
B.
-2 m/s²
C.
-3 m/s²
D.
-1 m/s²
Show solution
Solution
First, convert speed to m/s: 72 km/h = 20 m/s. Using a = (v - u)/t = (0 - 20)/5 = -4 m/s².
Correct Answer: A — -4 m/s²
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Q. A train moving with a speed of 60 km/h applies brakes and comes to a stop in 5 seconds. What is the magnitude of its acceleration?
A.
-3 m/s²
B.
-2 m/s²
C.
-1 m/s²
D.
-4 m/s²
Show solution
Solution
First, convert speed to m/s: 60 km/h = 60/3.6 = 16.67 m/s. Using the formula: acceleration = (final velocity - initial velocity) / time = (0 - 16.67) / 5 = -3.33 m/s², approximately -3 m/s².
Correct Answer: A — -3 m/s²
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Q. A train moving with a speed of 72 km/h applies brakes and comes to a stop in 10 seconds. What is the magnitude of its acceleration?
A.
-2 m/s²
B.
-3 m/s²
C.
-4 m/s²
D.
-5 m/s²
Show solution
Solution
First convert speed to m/s: 72 km/h = 20 m/s. Using the formula: acceleration = (final velocity - initial velocity) / time = (0 - 20) / 10 = -2 m/s².
Correct Answer: C — -4 m/s²
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Q. A train moving with a speed of 72 km/h applies brakes and comes to a stop in 10 seconds. What is the acceleration of the train?
A.
-2 m/s²
B.
-3 m/s²
C.
-4 m/s²
D.
-5 m/s²
Show solution
Solution
First convert speed to m/s: 72 km/h = 20 m/s. Using the formula: acceleration = (final velocity - initial velocity) / time = (0 - 20) / 10 = -2 m/s².
Correct Answer: B — -3 m/s²
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Q. A train of mass 1000 kg is moving with a velocity of 36 km/h. What is its kinetic energy?
A.
500 J
B.
1000 J
C.
1800 J
D.
2000 J
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Solution
First convert velocity to m/s: 36 km/h = 10 m/s. K.E. = (1/2)mv² = (1/2)(1000 kg)(10 m/s)² = 50000 J.
Correct Answer: C — 1800 J
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Q. A train starts from rest and accelerates uniformly at 2 m/s². What is its speed after 10 seconds? (2021)
A.
10 m/s
B.
20 m/s
C.
30 m/s
D.
40 m/s
Show solution
Solution
Using the formula: final velocity = initial velocity + acceleration * time. Final velocity = 0 + 2 * 10 = 20 m/s.
Correct Answer: B — 20 m/s
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Q. A train travels 120 km at a speed of 60 km/h and then 180 km at 90 km/h. What is the average speed for the entire journey? (2019)
A.
72 km/h
B.
75 km/h
C.
80 km/h
D.
85 km/h
Show solution
Solution
Total time = (120/60) + (180/90) = 2 + 2 = 4 hours. Total distance = 120 + 180 = 300 km. Average speed = Total distance / Total time = 300/4 = 75 km/h.
Correct Answer: C — 80 km/h
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Q. A train travels 120 km at a speed of 60 km/h. How long does it take to complete the journey?
A.
1 hour
B.
1.5 hours
C.
2 hours
D.
2.5 hours
Show solution
Solution
Time = Distance / Speed = 120 km / 60 km/h = 2 hours.
Correct Answer: C — 2 hours
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Q. A train travels 120 km at a uniform speed. If it takes 2 hours to complete the journey, what is the speed of the train?
A.
50 km/h
B.
60 km/h
C.
70 km/h
D.
80 km/h
Show solution
Solution
Speed = distance / time = 120 km / 2 h = 60 km/h.
Correct Answer: B — 60 km/h
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Q. A train travels 60 km at a speed of 30 km/h and then 90 km at a speed of 60 km/h. What is the average speed of the train for the entire journey? (2021)
A.
40 km/h
B.
45 km/h
C.
50 km/h
D.
55 km/h
Show solution
Solution
Total distance = 60 + 90 = 150 km. Time for first part = 60/30 = 2 hours. Time for second part = 90/60 = 1.5 hours. Total time = 2 + 1.5 = 3.5 hours. Average speed = Total distance / Total time = 150 / 3.5 = 42.86 km/h, which rounds to 45 km/h.
Correct Answer: B — 45 km/h
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Q. A train travels 60 km at a speed of 30 km/h and then travels another 60 km at a speed of 60 km/h. What is the average speed of the train for the entire journey? (2020)
A.
40 km/h
B.
45 km/h
C.
50 km/h
D.
55 km/h
Show solution
Solution
Total distance = 120 km. Time for first part = 60/30 = 2 hours. Time for second part = 60/60 = 1 hour. Total time = 3 hours. Average speed = Total distance / Total time = 120/3 = 40 km/h.
Correct Answer: B — 45 km/h
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Q. A train travels 60 km in 1 hour. How far will it travel in 2.5 hours at the same speed? (2019)
A.
120 km
B.
150 km
C.
180 km
D.
200 km
Show solution
Solution
Distance = Speed × Time. Therefore, distance = 60 km/h × 2.5 h = 150 km.
Correct Answer: B — 150 km
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Q. A train travels 60 km in 1 hour. How far will it travel in 2.5 hours? (2019)
A.
120 km
B.
150 km
C.
180 km
D.
200 km
Show solution
Solution
Distance = Speed × Time. Therefore, distance = 60 km/h × 2.5 h = 150 km.
Correct Answer: B — 150 km
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Q. A train travels at a speed of 60 km/h. How far will it travel in 2.5 hours? (2022)
A.
120 km
B.
150 km
C.
180 km
D.
200 km
Show solution
Solution
Distance = Speed × Time = 60 km/h × 2.5 h = 150 km.
Correct Answer: B — 150 km
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Q. A train travels at a speed of 72 km/h. How far will it travel in 30 minutes?
A.
12 km
B.
18 km
C.
24 km
D.
36 km
Show solution
Solution
Distance = speed × time = 72 km/h × 0.5 h = 36 km.
Correct Answer: B — 18 km
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