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

20 Speed, Time & Distance questions from the Mathematics section of RRB JE, 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 100 m long running at 90 km/h crosses a platform in 21 seconds. What is the length of the platform?

  1. A455 m
  2. B525 m
  3. C425 m
  4. D405 m
Show answer
Answer: (C) 425 m Distance covered = 25 Γ— 21 = 525 m = train + platform, so platform = 425 m.
Question 2

A speed of 36 km/h is equal to

  1. A5 m/s
  2. B10 m/s
  3. C129.6 m/s
  4. D18 m/s
Show answer
Answer: (B) 10 m/s Multiply by 5/18: 36 Γ— 5/18 = 10 m/s.
Question 3

A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream?

  1. A3 km/h
  2. B2 km/h
  3. C11 km/h
  4. D4 km/h
Show answer
Answer: (B) 2 km/h Downstream speed = 15, upstream = 11; stream = (downstream βˆ’ upstream)/2 = 2 km/h.
Question 4

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. A45 km/h
  2. B48 km/h
  3. C50 km/h
  4. D53 km/h
Show answer
Answer: (B) 48 km/h For equal distances, average speed = 2ab/(a + b) = 48 km/h.
Question 5

A train 250 m long is running at 90 km/h. How long will it take to cross a pole?

  1. A12 seconds
  2. B10 seconds
  3. C11 seconds
  4. D6 seconds
Show answer
Answer: (B) 10 seconds Speed = 90 Γ— 5/18 = 25 m/s; time = 250 Γ· 25 = 10 s.
Question 6

A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream?

  1. A5 km/h
  2. B7 km/h
  3. C8 km/h
  4. D4 km/h
Show answer
Answer: (D) 4 km/h Downstream speed = 15, upstream = 7; stream = (downstream βˆ’ upstream)/2 = 4 km/h.
Question 7

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. A42 km/h
  2. B40 km/h
  3. C37 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 8

A train 190 m long is running at 36 km/h. How long will it take to cross a pole?

  1. A19 seconds
  2. B15 seconds
  3. C16 seconds
  4. D20 seconds
Show answer
Answer: (A) 19 seconds Speed = 36 Γ— 5/18 = 10 m/s; time = 190 Γ· 10 = 19 s.
Question 9

A train 130 m long running at 72 km/h crosses a platform in 38 seconds. What is the length of the platform?

  1. A660 m
  2. B610 m
  3. C630 m
  4. D760 m
Show answer
Answer: (C) 630 m Distance covered = 20 Γ— 38 = 760 m = train + platform, so platform = 630 m.
Question 10

A speed of 72 km/h is equal to

  1. A20 m/s
  2. B36 m/s
  3. C15 m/s
  4. D259.2 m/s
Show answer
Answer: (A) 20 m/s Multiply by 5/18: 72 Γ— 5/18 = 20 m/s.

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Question 11

A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream?

  1. A17 km/h
  2. B4 km/h
  3. C2 km/h
  4. D15 km/h
Show answer
Answer: (C) 2 km/h Downstream speed = 19, upstream = 15; stream = (downstream βˆ’ upstream)/2 = 2 km/h.
Question 12

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. A69 km/h
  2. B77 km/h
  3. C72 km/h
  4. D74 km/h
Show answer
Answer: (C) 72 km/h For equal distances, average speed = 2ab/(a + b) = 72 km/h.
Question 13

A train 320 m long is running at 72 km/h. How long will it take to cross a pole?

  1. A12 seconds
  2. B16 seconds
  3. C18 seconds
  4. D15 seconds
Show answer
Answer: (B) 16 seconds Speed = 72 Γ— 5/18 = 20 m/s; time = 320 Γ· 20 = 16 s.
Question 14

A train 80 m long running at 54 km/h crosses a platform in 17 seconds. What is the length of the platform?

  1. A205 m
  2. B255 m
  3. C155 m
  4. D175 m
Show answer
Answer: (D) 175 m Distance covered = 15 Γ— 17 = 255 m = train + platform, so platform = 175 m.
Question 15

A speed of 198 km/h is equal to

  1. A50 m/s
  2. B60 m/s
  3. C55 m/s
  4. D99 m/s
Show answer
Answer: (C) 55 m/s Multiply by 5/18: 198 Γ— 5/18 = 55 m/s.
Question 16

A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream?

  1. A19 km/h
  2. B15 km/h
  3. C5 km/h
  4. D4 km/h
Show answer
Answer: (D) 4 km/h Downstream speed = 23, upstream = 15; stream = (downstream βˆ’ upstream)/2 = 4 km/h.
Question 17

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. 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.
Question 18

A train 390 m long is running at 108 km/h. How long will it take to cross a pole?

  1. A16 seconds
  2. B12 seconds
  3. C14 seconds
  4. D13 seconds
Show answer
Answer: (D) 13 seconds Speed = 108 Γ— 5/18 = 30 m/s; time = 390 Γ· 30 = 13 s.
Question 19

A train 140 m long running at 90 km/h crosses a platform in 16 seconds. What is the length of the platform?

  1. A260 m
  2. B240 m
  3. C290 m
  4. D400 m
Show answer
Answer: (A) 260 m Distance covered = 25 Γ— 16 = 400 m = train + platform, so platform = 260 m.
Question 20

A speed of 144 km/h is equal to

  1. A45 m/s
  2. B72 m/s
  3. C40 m/s
  4. D518.4 m/s
Show answer
Answer: (C) 40 m/s Multiply by 5/18: 144 Γ— 5/18 = 40 m/s.

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