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RRB ALP Speed, Time & Distance Questions with Answers & Explanations

20 Speed, Time & Distance questions from the Mathematics section of RRB ALP, 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 boat goes 66 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream?

  1. A16 km/h
  2. B6 km/h
  3. C10 km/h
  4. D12 km/h
Show answer
Answer: (B) 6 km/h Downstream speed = 22, upstream = 10; stream = (downstream − upstream)/2 = 6 km/h.
Question 2

A train 170 m long running at 36 km/h crosses a platform in 31 seconds. What is the length of the platform?

  1. A140 m
  2. B170 m
  3. C310 m
  4. D120 m
Show answer
Answer: (A) 140 m Distance covered = 10 × 31 = 310 m = train + platform, so platform = 140 m.
Question 3

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. A37 km/h
  2. B40 km/h
  3. C42 km/h
  4. D45 km/h
Show answer
Answer: (B) 40 km/h For equal distances, average speed = 2ab/(a + b) = 40 km/h.
Question 4

A train 100 m long running at 54 km/h crosses a platform in 19 seconds. What is the length of the platform?

  1. A165 m
  2. B185 m
  3. C215 m
  4. D285 m
Show answer
Answer: (B) 185 m Distance covered = 15 × 19 = 285 m = train + platform, so platform = 185 m.
Question 5

A speed of 90 km/h is equal to

  1. A324 m/s
  2. B25 m/s
  3. C20 m/s
  4. D30 m/s
Show answer
Answer: (B) 25 m/s Multiply by 5/18: 90 × 5/18 = 25 m/s.
Question 6

A person travels from P to Q at 45 km/h and returns at 90 km/h. What is the average speed for the whole journey?

  1. A67.5 km/h
  2. B60 km/h
  3. C65 km/h
  4. D57 km/h
Show answer
Answer: (B) 60 km/h For equal distances, average speed = 2ab/(a + b) = 60 km/h.
Question 7

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

  1. A17 seconds
  2. B15 seconds
  3. C14 seconds
  4. D21 seconds
Show answer
Answer: (A) 17 seconds Speed = 108 × 5/18 = 30 m/s; time = 510 ÷ 30 = 17 s.
Question 8

A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream?

  1. A4 km/h
  2. B2 km/h
  3. C3 km/h
  4. D6 km/h
Show answer
Answer: (B) 2 km/h Downstream speed = 10, upstream = 6; stream = (downstream − upstream)/2 = 2 km/h.
Question 9

A train 140 m long running at 54 km/h crosses a platform in 33 seconds. What is the length of the platform?

  1. A355 m
  2. B385 m
  3. C495 m
  4. D335 m
Show answer
Answer: (A) 355 m Distance covered = 15 × 33 = 495 m = train + platform, so platform = 355 m.
Question 10

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. A53 km/h
  2. B45 km/h
  3. C48 km/h
  4. D50 km/h
Show answer
Answer: (C) 48 km/h For equal distances, average speed = 2ab/(a + b) = 48 km/h.

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Question 11

A train 150 m long is running at 90 km/h. How long will it take to cross a pole?

  1. A6 seconds
  2. B3 seconds
  3. C4 seconds
  4. D9 seconds
Show answer
Answer: (A) 6 seconds Speed = 90 × 5/18 = 25 m/s; time = 150 ÷ 25 = 6 s.
Question 12

A boat goes 60 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream?

  1. A7 km/h
  2. B6 km/h
  3. C14 km/h
  4. D12 km/h
Show answer
Answer: (B) 6 km/h Downstream speed = 20, upstream = 8; stream = (downstream − upstream)/2 = 6 km/h.
Question 13

A train 110 m long running at 36 km/h crosses a platform in 36 seconds. What is the length of the platform?

  1. A360 m
  2. B250 m
  3. C280 m
  4. D230 m
Show answer
Answer: (B) 250 m Distance covered = 10 × 36 = 360 m = train + platform, so platform = 250 m.
Question 14

A speed of 162 km/h is equal to

  1. A81 m/s
  2. B583.2 m/s
  3. C45 m/s
  4. D40 m/s
Show answer
Answer: (C) 45 m/s Multiply by 5/18: 162 × 5/18 = 45 m/s.
Question 15

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. B42 km/h
  3. C40 km/h
  4. D45 km/h
Show answer
Answer: (C) 40 km/h For equal distances, average speed = 2ab/(a + b) = 40 km/h.
Question 16

A train 90 m long is running at 54 km/h. How long will it take to cross a pole?

  1. A6 seconds
  2. B7 seconds
  3. C3 seconds
  4. D5 seconds
Show answer
Answer: (A) 6 seconds Speed = 54 × 5/18 = 15 m/s; time = 90 ÷ 15 = 6 s.
Question 17

A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream?

  1. A8 km/h
  2. B5 km/h
  3. C4 km/h
  4. D14 km/h
Show answer
Answer: (C) 4 km/h Downstream speed = 18, upstream = 10; stream = (downstream − upstream)/2 = 4 km/h.
Question 18

A train 140 m long running at 72 km/h crosses a platform in 39 seconds. What is the length of the platform?

  1. A780 m
  2. B620 m
  3. C670 m
  4. D640 m
Show answer
Answer: (D) 640 m Distance covered = 20 × 39 = 780 m = train + platform, so platform = 640 m.
Question 19

A speed of 198 km/h is equal to

  1. A60 m/s
  2. B50 m/s
  3. C712.8 m/s
  4. D55 m/s
Show answer
Answer: (D) 55 m/s Multiply by 5/18: 198 × 5/18 = 55 m/s.
Question 20

A train 80 m long running at 72 km/h crosses a platform in 32 seconds. What is the length of the platform?

  1. A590 m
  2. B640 m
  3. C540 m
  4. D560 m
Show answer
Answer: (D) 560 m Distance covered = 20 × 32 = 640 m = train + platform, so platform = 560 m.

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

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