PlacementPrepA train running at 90 km/h crosses a pole in 10 seconds. What is the length of the train?
Solution
Speed = 90 × 5/18 = 25 m/s.
Length = speed × time = 25 × 10 = 250 m.
Answer: (A) 250 m
Quantitative Aptitude · Work and motion
Problems on Trains: placement practice questions
30 moderate questions in the pattern of campus placement tests. Pick an option to check your answer, then open the step-by-step solution.
Two trains 240 m and 120 m long run at 36 km/h and 45 km/h in opposite directions. How long will they take to cross each other?
Solution
Relative speed = 36 + 45 = 81 km/h = 22.5 m/s.
Time = (240 + 120)/22.5 = 16 s.
Answer: (A) 16 seconds
A train 150 m long at 108 km/h overtakes another train 120 m long running at 54 km/h in the same direction. How long does it take to pass completely?
Solution
Relative speed = 108 − 54 = 54 km/h = 15 m/s.
Time = 270/15 = 18 s.
Answer: (A) 18 seconds
A train running at 90 km/h crosses a pole in 20 seconds. What is the length of the train?
Solution
Speed = 90 × 5/18 = 25 m/s.
Length = speed × time = 25 × 20 = 500 m.
Answer: (C) 500 m
A 240 m long train runs at 36 km/h. How long does it take to cross a 400 m long platform?
Solution
Distance = train + platform = 240 + 400 = 640 m.
Speed = 10 m/s, so time = 640/10 = 64 s.
Answer: (A) 64 seconds
A 150 m train crosses a 250 m bridge in 30 seconds. What is its speed in km/h?
Solution
Speed = (150 + 250)/30 = 13 1/3 m/s.
In km/h: × 18/5 = 48 km/h.
Answer: (B) 48 km/h
A train running at 36 km/h crosses a pole in 18 seconds. What is the length of the train?
Solution
Speed = 36 × 5/18 = 10 m/s.
Length = speed × time = 10 × 18 = 180 m.
Answer: (C) 180 m
A 250 m train crosses a 200 m bridge in 15 seconds. What is its speed in km/h?
Solution
Speed = (250 + 200)/15 = 30 m/s.
In km/h: × 18/5 = 108 km/h.
Answer: (B) 108 km/h
A 200 m long train runs at 54 km/h. How long will it take to pass a man walking at 9 km/h in the same direction?
Solution
Relative speed = 54 − 9 = 45 km/h = 12.5 m/s.
Time = 200/12.5 = 16 s.
Answer: (A) 16 seconds
A train running at 108 km/h crosses a pole in 16 seconds. What is the length of the train?
Solution
Speed = 108 × 5/18 = 30 m/s.
Length = speed × time = 30 × 16 = 480 m.
Answer: (B) 480 m
A train running at 90 km/h crosses a pole in 7 seconds. What is the length of the train?
Solution
Speed = 90 × 5/18 = 25 m/s.
Length = speed × time = 25 × 7 = 175 m.
Answer: (A) 175 m
A 250 m long train runs at 36 km/h. How long does it take to cross a 250 m long platform?
Solution
Distance = train + platform = 250 + 250 = 500 m.
Speed = 10 m/s, so time = 500/10 = 50 s.
Answer: (B) 50 seconds
A train running at 45 km/h crosses a pole in 15 seconds. What is the length of the train?
Solution
Speed = 45 × 5/18 = 12.5 m/s.
Length = speed × time = 12.5 × 15 = 187.5 m.
Answer: (C) 187.5 m
A 250 m long train runs at 90 km/h. How long does it take to cross a 400 m long platform?
Solution
Distance = train + platform = 250 + 400 = 650 m.
Speed = 25 m/s, so time = 650/25 = 26 s.
Answer: (A) 26 seconds
A 200 m train crosses a 180 m bridge in 18 seconds. What is its speed in km/h?
Solution
Speed = (200 + 180)/18 = 21 1/9 m/s.
In km/h: × 18/5 = 76 km/h.
Answer: (B) 76 km/h
A 150 m long train runs at 36 km/h. How long does it take to cross a 200 m long platform?
Solution
Distance = train + platform = 150 + 200 = 350 m.
Speed = 10 m/s, so time = 350/10 = 35 s.
Answer: (A) 35 seconds
A 300 m long train runs at 54 km/h. How long does it take to cross a 150 m long platform?
Solution
Distance = train + platform = 300 + 150 = 450 m.
Speed = 15 m/s, so time = 450/15 = 30 s.
Answer: (D) 30 seconds
A train 200 m long at 108 km/h overtakes another train 150 m long running at 36 km/h in the same direction. How long does it take to pass completely?
Solution
Relative speed = 108 − 36 = 72 km/h = 20 m/s.
Time = 350/20 = 17.5 s.
Answer: (A) 17.5 seconds
A 240 m train crosses a 300 m bridge in 18 seconds. What is its speed in km/h?
Solution
Speed = (240 + 300)/18 = 30 m/s.
In km/h: × 18/5 = 108 km/h.
Answer: (C) 108 km/h
A 120 m train crosses a 250 m bridge in 18 seconds. What is its speed in km/h?
Solution
Speed = (120 + 250)/18 = 20 5/9 m/s.
In km/h: × 18/5 = 74 km/h.
Answer: (A) 74 km/h
A 300 m long train runs at 63 km/h. How long will it take to pass a man walking at 9 km/h in the same direction?
Solution
Relative speed = 63 − 9 = 54 km/h = 15 m/s.
Time = 300/15 = 20 s.
Answer: (B) 20 seconds
A train 120 m long at 72 km/h overtakes another train 200 m long running at 36 km/h in the same direction. How long does it take to pass completely?
Solution
Relative speed = 72 − 36 = 36 km/h = 10 m/s.
Time = 320/10 = 32 s.
Answer: (C) 32 seconds
A 150 m long train runs at 36 km/h. How long does it take to cross a 400 m long platform?
Solution
Distance = train + platform = 150 + 400 = 550 m.
Speed = 10 m/s, so time = 550/10 = 55 s.
Answer: (D) 55 seconds
A 180 m train crosses a 300 m bridge in 18 seconds. What is its speed in km/h?
Solution
Speed = (180 + 300)/18 = 26 2/3 m/s.
In km/h: × 18/5 = 96 km/h.
Answer: (B) 96 km/h
A 200 m long train runs at 81 km/h. How long will it take to pass a man walking at 9 km/h in the same direction?
Solution
Relative speed = 81 − 9 = 72 km/h = 20 m/s.
Time = 200/20 = 10 s.
Answer: (A) 10 seconds
A train 200 m long at 72 km/h overtakes another train 100 m long running at 54 km/h in the same direction. How long does it take to pass completely?
Solution
Relative speed = 72 − 54 = 18 km/h = 5 m/s.
Time = 300/5 = 60 s.
Answer: (C) 60 seconds
Two trains 120 m and 240 m long run at 36 km/h and 45 km/h in opposite directions. How long will they take to cross each other?
Solution
Relative speed = 36 + 45 = 81 km/h = 22.5 m/s.
Time = (120 + 240)/22.5 = 16 s.
Answer: (C) 16 seconds
A train 100 m long at 90 km/h overtakes another train 200 m long running at 45 km/h in the same direction. How long does it take to pass completely?
Solution
Relative speed = 90 − 45 = 45 km/h = 12.5 m/s.
Time = 300/12.5 = 24 s.
Answer: (B) 24 seconds
A train 150 m long at 90 km/h overtakes another train 100 m long running at 54 km/h in the same direction. How long does it take to pass completely?
Solution
Relative speed = 90 − 54 = 36 km/h = 10 m/s.
Time = 250/10 = 25 s.
Answer: (B) 25 seconds
A 200 m long train runs at 54 km/h. How long will it take to pass a man walking at 6 km/h in the same direction?
Solution
Relative speed = 54 − 6 = 48 km/h = 13 1/3 m/s.
Time = 200/13 1/3 = 15 s.
Answer: (C) 15 seconds
Want guided preparation? Placement Papers Prep courses by Dr. Kiran Derle, with video lessons and full-length mocks.
See placement courses ↗