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Agniveer Army Speed, Time & Distance Questions with Answers & Explanations

20 Speed, Time & Distance questions from the Mathematics section of Agniveer Army, 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.

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Question 1

A train 140 m long running at 36 km/h crosses a platform in 27 seconds. What is the length of the platform?

  1. A110 m
  2. B160 m
  3. C270 m
  4. D130 m
Show answer
Answer: (D) 130 m Distance covered = 10 × 27 = 270 m = train + platform, so platform = 130 m.
Question 2

A speed of 36 km/h is equal to

  1. A18 m/s
  2. B10 m/s
  3. C129.6 m/s
  4. D5 m/s
Show answer
Answer: (B) 10 m/s Multiply by 5/18: 36 × 5/18 = 10 m/s.
Question 3

A train 130 m long is running at 36 km/h. How long will it take to cross a pole?

  1. A11 seconds
  2. B9 seconds
  3. C12 seconds
  4. D13 seconds
Show answer
Answer: (D) 13 seconds Speed = 36 × 5/18 = 10 m/s; time = 130 ÷ 10 = 13 s.
Question 4

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.
Question 5

A train 190 m long running at 54 km/h crosses a platform in 34 seconds. What is the length of the platform?

  1. A300 m
  2. B510 m
  3. C350 m
  4. D320 m
Show answer
Answer: (D) 320 m Distance covered = 15 × 34 = 510 m = train + platform, so platform = 320 m.
Question 6

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

  1. A48 km/h
  2. B45 km/h
  3. C50 km/h
  4. D53 km/h
Show answer
Answer: (A) 48 km/h For equal distances, average speed = 2ab/(a + b) = 48 km/h.
Question 7

A speed of 36 km/h is equal to

  1. A5 m/s
  2. B18 m/s
  3. C15 m/s
  4. D10 m/s
Show answer
Answer: (D) 10 m/s Multiply by 5/18: 36 × 5/18 = 10 m/s.
Question 8

A train 150 m long is running at 36 km/h. How long will it take to cross a pole?

  1. A18 seconds
  2. B16 seconds
  3. C12 seconds
  4. D15 seconds
Show answer
Answer: (D) 15 seconds Speed = 36 × 5/18 = 10 m/s; time = 150 ÷ 10 = 15 s.
Question 9

A boat goes 57 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream?

  1. A7 km/h
  2. B6 km/h
  3. C12 km/h
  4. D13 km/h
Show answer
Answer: (B) 6 km/h Downstream speed = 19, upstream = 7; stream = (downstream − upstream)/2 = 6 km/h.
Question 10

A train 270 m long is running at 108 km/h. How long will it take to cross a pole?

  1. A6 seconds
  2. B7 seconds
  3. C9 seconds
  4. D8 seconds
Show answer
Answer: (C) 9 seconds Speed = 108 × 5/18 = 30 m/s; time = 270 ÷ 30 = 9 s.

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Question 11

A person travels from P to Q at 30 km/h and returns at 60 km/h. What is the average speed for the whole journey?

  1. A45 km/h
  2. B42 km/h
  3. C40 km/h
  4. D37 km/h
Show answer
Answer: (C) 40 km/h For equal distances, average speed = 2ab/(a + b) = 40 km/h.
Question 12

A speed of 216 km/h is equal to

  1. A55 m/s
  2. B777.6 m/s
  3. C65 m/s
  4. D60 m/s
Show answer
Answer: (D) 60 m/s Multiply by 5/18: 216 × 5/18 = 60 m/s.
Question 13

A boat goes 42 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream?

  1. A8 km/h
  2. B2 km/h
  3. C6 km/h
  4. D7 km/h
Show answer
Answer: (C) 6 km/h Downstream speed = 14, upstream = 2; stream = (downstream − upstream)/2 = 6 km/h.
Question 14

A train 190 m long running at 72 km/h crosses a platform in 28 seconds. What is the length of the platform?

  1. A400 m
  2. B350 m
  3. C560 m
  4. D370 m
Show answer
Answer: (D) 370 m Distance covered = 20 × 28 = 560 m = train + platform, so platform = 370 m.
Question 15

A speed of 126 km/h is equal to

  1. A35 m/s
  2. B40 m/s
  3. C30 m/s
  4. D63 m/s
Show answer
Answer: (A) 35 m/s Multiply by 5/18: 126 × 5/18 = 35 m/s.
Question 16

A train 400 m long is running at 90 km/h. How long will it take to cross a pole?

  1. A13 seconds
  2. B18 seconds
  3. C14 seconds
  4. D16 seconds
Show answer
Answer: (D) 16 seconds Speed = 90 × 5/18 = 25 m/s; time = 400 ÷ 25 = 16 s.
Question 17

A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream?

  1. A3 km/h
  2. B5 km/h
  3. C8 km/h
  4. D6 km/h
Show answer
Answer: (B) 5 km/h Downstream speed = 13, upstream = 3; stream = (downstream − upstream)/2 = 5 km/h.
Question 18

A train 130 m long running at 36 km/h crosses a platform in 22 seconds. What is the length of the platform?

  1. A70 m
  2. B120 m
  3. C90 m
  4. D220 m
Show answer
Answer: (C) 90 m Distance covered = 10 × 22 = 220 m = train + platform, so platform = 90 m.
Question 19

A person travels from P to Q at 36 km/h and returns at 45 km/h. What is the average speed for the whole journey?

  1. A40.5 km/h
  2. B37 km/h
  3. C45 km/h
  4. D40 km/h
Show answer
Answer: (D) 40 km/h For equal distances, average speed = 2ab/(a + b) = 40 km/h.
Question 20

A train 130 m long running at 36 km/h crosses a platform in 24 seconds. What is the length of the platform?

  1. A110 m
  2. B240 m
  3. C90 m
  4. D140 m
Show answer
Answer: (A) 110 m Distance covered = 10 × 24 = 240 m = train + platform, so platform = 110 m.

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

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