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AFCAT Speed, Time & Distance Questions with Answers & Explanations

20 Speed, Time & Distance questions from the Numerical Ability section of AFCAT, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

Question 1

A train 260 m long is running at 72 km/h. How long will it take to cross a pole?

  1. A11 seconds
  2. B13 seconds
  3. C16 seconds
  4. D17 seconds
Show answer
Answer: (B) 13 seconds Speed = 72 Γ— 5/18 = 20 m/s; time = 260 Γ· 20 = 13 s.
Question 2

A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream?

  1. A14 km/h
  2. B4 km/h
  3. C5 km/h
  4. D8 km/h
Show answer
Answer: (B) 4 km/h Downstream speed = 22, upstream = 14; stream = (downstream βˆ’ upstream)/2 = 4 km/h.
Question 3

A train 100 m long is running at 36 km/h. How long will it take to cross a pole?

  1. A12 seconds
  2. B13 seconds
  3. C10 seconds
  4. D11 seconds
Show answer
Answer: (C) 10 seconds Speed = 36 Γ— 5/18 = 10 m/s; time = 100 Γ· 10 = 10 s.
Question 4

A train 100 m long running at 36 km/h crosses a platform in 28 seconds. What is the length of the platform?

  1. A210 m
  2. B160 m
  3. C280 m
  4. D180 m
Show answer
Answer: (D) 180 m Distance covered = 10 Γ— 28 = 280 m = train + platform, so platform = 180 m.
Question 5

A speed of 72 km/h is equal to

  1. A36 m/s
  2. B25 m/s
  3. C20 m/s
  4. D259.2 m/s
Show answer
Answer: (C) 20 m/s Multiply by 5/18: 72 Γ— 5/18 = 20 m/s.
Question 6

A person travels from P to Q at 60 km/h and returns at 90 km/h. What is the average speed for the whole journey?

  1. A77 km/h
  2. B74 km/h
  3. C69 km/h
  4. D72 km/h
Show answer
Answer: (D) 72 km/h For equal distances, average speed = 2ab/(a + b) = 72 km/h.
Question 7

A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream?

  1. A8 km/h
  2. B5 km/h
  3. C3 km/h
  4. D4 km/h
Show answer
Answer: (C) 3 km/h Downstream speed = 11, upstream = 5; stream = (downstream βˆ’ upstream)/2 = 3 km/h.
Question 8

A train 450 m long is running at 90 km/h. How long will it take to cross a pole?

  1. A15 seconds
  2. B14 seconds
  3. C18 seconds
  4. D22 seconds
Show answer
Answer: (C) 18 seconds Speed = 90 Γ— 5/18 = 25 m/s; time = 450 Γ· 25 = 18 s.
Question 9

A train 110 m long running at 72 km/h crosses a platform in 38 seconds. What is the length of the platform?

  1. A760 m
  2. B650 m
  3. C630 m
  4. D680 m
Show answer
Answer: (B) 650 m Distance covered = 20 Γ— 38 = 760 m = train + platform, so platform = 650 m.
Question 10

A speed of 198 km/h is equal to

  1. A99 m/s
  2. B55 m/s
  3. C712.8 m/s
  4. D50 m/s
Show answer
Answer: (B) 55 m/s Multiply by 5/18: 198 Γ— 5/18 = 55 m/s.

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Question 11

A person travels from P to Q at 60 km/h and returns at 40 km/h. What is the average speed for the whole journey?

  1. A50 km/h
  2. B45 km/h
  3. C48 km/h
  4. D53 km/h
Show answer
Answer: (C) 48 km/h For equal distances, average speed = 2ab/(a + b) = 48 km/h.
Question 12

A train 510 m long is running at 108 km/h. How long will it take to cross a pole?

  1. A21 seconds
  2. B17 seconds
  3. C14 seconds
  4. D20 seconds
Show answer
Answer: (B) 17 seconds Speed = 108 Γ— 5/18 = 30 m/s; time = 510 Γ· 30 = 17 s.
Question 13

A train 90 m long running at 36 km/h crosses a platform in 37 seconds. What is the length of the platform?

  1. A280 m
  2. B370 m
  3. C260 m
  4. D310 m
Show answer
Answer: (A) 280 m Distance covered = 10 Γ— 37 = 370 m = train + platform, so platform = 280 m.
Question 14

A speed of 216 km/h is equal to

  1. A777.6 m/s
  2. B55 m/s
  3. C60 m/s
  4. D65 m/s
Show answer
Answer: (C) 60 m/s Multiply by 5/18: 216 Γ— 5/18 = 60 m/s.
Question 15

A person travels from P to Q at 30 km/h and returns at 45 km/h. What is the average speed for the whole journey?

  1. A33 km/h
  2. B36 km/h
  3. C38 km/h
  4. D41 km/h
Show answer
Answer: (B) 36 km/h For equal distances, average speed = 2ab/(a + b) = 36 km/h.
Question 16

A boat goes 60 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream?

  1. A5 km/h
  2. B12 km/h
  3. C8 km/h
  4. D4 km/h
Show answer
Answer: (D) 4 km/h Downstream speed = 20, upstream = 12; stream = (downstream βˆ’ upstream)/2 = 4 km/h.
Question 17

A train 105 m long is running at 54 km/h. How long will it take to cross a pole?

  1. A7 seconds
  2. B6 seconds
  3. C4 seconds
  4. D9 seconds
Show answer
Answer: (A) 7 seconds Speed = 54 Γ— 5/18 = 15 m/s; time = 105 Γ· 15 = 7 s.
Question 18

A train 50 m long running at 72 km/h crosses a platform in 34 seconds. What is the length of the platform?

  1. A680 m
  2. B630 m
  3. C610 m
  4. D660 m
Show answer
Answer: (B) 630 m Distance covered = 20 Γ— 34 = 680 m = train + platform, so platform = 630 m.
Question 19

A train 150 m long running at 90 km/h crosses a platform in 30 seconds. What is the length of the platform?

  1. A750 m
  2. B630 m
  3. C580 m
  4. D600 m
Show answer
Answer: (D) 600 m Distance covered = 25 Γ— 30 = 750 m = train + platform, so platform = 600 m.
Question 20

A person travels from P to Q at 30 km/h and returns at 45 km/h. What is the average speed for the whole journey?

  1. A37.5 km/h
  2. B38 km/h
  3. C36 km/h
  4. D33 km/h
Show answer
Answer: (C) 36 km/h For equal distances, average speed = 2ab/(a + b) = 36 km/h.

These are RankerClub practice questions written in the AFCAT pattern. They are not official SSC/IBPS/RRB papers.

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