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SSC CPO Speed, Distance, Trains & Boats Questions
Practise speed, distance, trains & boats (quantitative aptitude) for the SSC Sub-Inspector in Delhi Police & CAPFs Examination: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Speed, Distance, Trains & Boats practice
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Q1.A car goes from A to B at 60 km/h and returns at 20 km/h. What is its average speed for the round trip?
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Answer: B — 30 km/h
For equal distances, average speed = 2xy/(x + y) = 2×60×20/80 = 30 km/h (not the simple average).
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Q2.A 110 m long train running at 90 km/h crosses a 160 m long platform. How long does it take?
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Answer: B — 10.8 seconds
Speed = 90 × 5/18 = 25 m/s. Distance = train + platform = 110 + 160 = 270 m. Time = 270/25 = 10.8 s.
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Q3.A car goes from A to B at 50 km/h and returns at 60 km/h. What is its average speed for the round trip?
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Answer: B — 54.55 km/h
For equal distances, average speed = 2xy/(x + y) = 2×50×60/110 = 54.55 km/h (not the simple average).
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Q4.A boat goes 22 km/h downstream and 14 km/h upstream. What is its speed in still water?
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Answer: C — 18 km/h
Speed in still water = (downstream + upstream)/2 = (22 + 14)/2 = 18 km/h; stream = (22 − 14)/2 = 4 km/h.
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Q5.A 100 m long train running at 72 km/h crosses a 100 m long platform. How long does it take?
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Answer: D — 10 seconds
Speed = 72 × 5/18 = 20 m/s. Distance = train + platform = 100 + 100 = 200 m. Time = 200/20 = 10 s.
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Q6.A 110 m long train running at 90 km/h crosses a 390 m long platform. How long does it take?
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Answer: B — 20 seconds
Speed = 90 × 5/18 = 25 m/s. Distance = train + platform = 110 + 390 = 500 m. Time = 500/25 = 20 s.
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Q7.A boat goes 21 km/h downstream and 19 km/h upstream. What is its speed in still water?
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Answer: D — 20 km/h
Speed in still water = (downstream + upstream)/2 = (21 + 19)/2 = 20 km/h; stream = (21 − 19)/2 = 1 km/h.
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Q8.A car goes from A to B at 30 km/h and returns at 20 km/h. What is its average speed for the round trip?
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Answer: D — 24 km/h
For equal distances, average speed = 2xy/(x + y) = 2×30×20/50 = 24 km/h (not the simple average).
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Q9.A boat goes 18 km/h downstream and 10 km/h upstream. What is its speed in still water?
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Answer: A — 14 km/h
Speed in still water = (downstream + upstream)/2 = (18 + 10)/2 = 14 km/h; stream = (18 − 10)/2 = 4 km/h.
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Q10.A car goes from A to B at 50 km/h and returns at 36 km/h. What is its average speed for the round trip?
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Answer: D — 41.86 km/h
For equal distances, average speed = 2xy/(x + y) = 2×50×36/86 = 41.86 km/h (not the simple average).
How to approach speed, distance, trains & boats questions
Convert km/h to m/s by × 5/18. Trains crossing a platform cover train + platform length. Downstream = boat + stream; upstream = boat − stream. Average speed for equal distances is the harmonic mean 2xy/(x + y).
About SSC CPO
SSC Sub-Inspector in Delhi Police & CAPFs Examination — conducted by Staff Selection Commission (SSC). Recruits Sub-Inspectors for Delhi Police and the Central Armed Police Forces.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
SSC CPO practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Speed, Distance, Trains & Boats | Quantitative aptitude | Calculated (new numbers every set) |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| English Grammar | English | Question bank |
| Vocabulary & Idioms | English | Question bank |
| Indian Polity, History & Geography | General awareness | Question bank |