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UPTET Speed, Time & Distance Questions with Answers & Explanations

20 Speed, Time & Distance questions from the Mathematics section of UPTET, 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 360 m long is running at 108 km/h. How long will it take to cross a pole?

  1. A11 seconds
  2. B14 seconds
  3. C12 seconds
  4. D9 seconds
Show answer
Answer: (C) 12 seconds Speed = 108 × 5/18 = 30 m/s; time = 360 ÷ 30 = 12 s.
Question 2

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. B48 km/h
  3. C53 km/h
  4. D45 km/h
Show answer
Answer: (B) 48 km/h For equal distances, average speed = 2ab/(a + b) = 48 km/h.
Question 3

A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream?

  1. A5 km/h
  2. B4 km/h
  3. C9 km/h
  4. D8 km/h
Show answer
Answer: (B) 4 km/h Downstream speed = 13, upstream = 5; stream = (downstream − upstream)/2 = 4 km/h.
Question 4

A speed of 162 km/h is equal to

  1. A45 m/s
  2. B583.2 m/s
  3. C40 m/s
  4. D50 m/s
Show answer
Answer: (A) 45 m/s Multiply by 5/18: 162 × 5/18 = 45 m/s.
Question 5

A train 140 m long running at 36 km/h crosses a platform in 33 seconds. What is the length of the platform?

  1. A190 m
  2. B220 m
  3. C330 m
  4. D170 m
Show answer
Answer: (A) 190 m Distance covered = 10 × 33 = 330 m = train + platform, so platform = 190 m.
Question 6

A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream?

  1. A5 km/h
  2. B8 km/h
  3. C12 km/h
  4. D4 km/h
Show answer
Answer: (D) 4 km/h Downstream speed = 16, upstream = 8; stream = (downstream − upstream)/2 = 4 km/h.
Question 7

A train 130 m long running at 54 km/h crosses a platform in 21 seconds. What is the length of the platform?

  1. A165 m
  2. B315 m
  3. C215 m
  4. D185 m
Show answer
Answer: (D) 185 m Distance covered = 15 × 21 = 315 m = train + platform, so platform = 185 m.
Question 8

A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream?

  1. A10 km/h
  2. B6 km/h
  3. C5 km/h
  4. D4 km/h
Show answer
Answer: (C) 5 km/h Downstream speed = 14, upstream = 4; stream = (downstream − upstream)/2 = 5 km/h.
Question 9

A train 300 m long is running at 108 km/h. How long will it take to cross a pole?

  1. A10 seconds
  2. B14 seconds
  3. C11 seconds
  4. D12 seconds
Show answer
Answer: (A) 10 seconds Speed = 108 × 5/18 = 30 m/s; time = 300 ÷ 30 = 10 s.
Question 10

A speed of 126 km/h is equal to

  1. A40 m/s
  2. B30 m/s
  3. C63 m/s
  4. D35 m/s
Show answer
Answer: (D) 35 m/s Multiply by 5/18: 126 × 5/18 = 35 m/s.

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Question 11

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. A36 km/h
  2. B38 km/h
  3. C37.5 km/h
  4. D41 km/h
Show answer
Answer: (A) 36 km/h For equal distances, average speed = 2ab/(a + b) = 36 km/h.
Question 12

A train 160 m long running at 36 km/h crosses a platform in 32 seconds. What is the length of the platform?

  1. A320 m
  2. B140 m
  3. C190 m
  4. D160 m
Show answer
Answer: (D) 160 m Distance covered = 10 × 32 = 320 m = train + platform, so platform = 160 m.
Question 13

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. B8 km/h
  3. C6 km/h
  4. D14 km/h
Show answer
Answer: (C) 6 km/h Downstream speed = 20, upstream = 8; stream = (downstream − upstream)/2 = 6 km/h.
Question 14

A train 280 m long is running at 72 km/h. How long will it take to cross a pole?

  1. A13 seconds
  2. B12 seconds
  3. C14 seconds
  4. D17 seconds
Show answer
Answer: (C) 14 seconds Speed = 72 × 5/18 = 20 m/s; time = 280 ÷ 20 = 14 s.
Question 15

A speed of 54 km/h is equal to

  1. A10 m/s
  2. B15 m/s
  3. C27 m/s
  4. D20 m/s
Show answer
Answer: (B) 15 m/s Multiply by 5/18: 54 × 5/18 = 15 m/s.
Question 16

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. A65 km/h
  2. B57 km/h
  3. C60 km/h
  4. D62 km/h
Show answer
Answer: (C) 60 km/h For equal distances, average speed = 2ab/(a + b) = 60 km/h.
Question 17

A train 90 m long running at 90 km/h crosses a platform in 39 seconds. What is the length of the platform?

  1. A865 m
  2. B975 m
  3. C885 m
  4. D915 m
Show answer
Answer: (C) 885 m Distance covered = 25 × 39 = 975 m = train + platform, so platform = 885 m.
Question 18

A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream?

  1. A6 km/h
  2. B5 km/h
  3. C10 km/h
  4. D11 km/h
Show answer
Answer: (B) 5 km/h Downstream speed = 16, upstream = 6; stream = (downstream − upstream)/2 = 5 km/h.
Question 19

A train 350 m long is running at 90 km/h. How long will it take to cross a pole?

  1. A17 seconds
  2. B14 seconds
  3. C12 seconds
  4. D11 seconds
Show answer
Answer: (B) 14 seconds Speed = 90 × 5/18 = 25 m/s; time = 350 ÷ 25 = 14 s.
Question 20

A speed of 90 km/h is equal to

  1. A25 m/s
  2. B20 m/s
  3. C45 m/s
  4. D324 m/s
Show answer
Answer: (A) 25 m/s Multiply by 5/18: 90 × 5/18 = 25 m/s.

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

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