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CTET Speed, Time & Distance Questions with Answers & Explanations

20 Speed, Time & Distance questions from the Mathematics section of CTET, 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 speed of 36 km/h is equal to

  1. A129.6 m/s
  2. B18 m/s
  3. C10 m/s
  4. D15 m/s
Show answer
Answer: (C) 10 m/s Multiply by 5/18: 36 × 5/18 = 10 m/s.
Question 2

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 3

A train 190 m long running at 54 km/h crosses a platform in 28 seconds. What is the length of the platform?

  1. A210 m
  2. B230 m
  3. C420 m
  4. D260 m
Show answer
Answer: (B) 230 m Distance covered = 15 × 28 = 420 m = train + platform, so platform = 230 m.
Question 4

A train 500 m long is running at 90 km/h. How long will it take to cross a pole?

  1. A17 seconds
  2. B22 seconds
  3. C16 seconds
  4. D20 seconds
Show answer
Answer: (D) 20 seconds Speed = 90 × 5/18 = 25 m/s; time = 500 ÷ 25 = 20 s.
Question 5

A boat goes 45 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream?

  1. A6 km/h
  2. B3 km/h
  3. C7 km/h
  4. D9 km/h
Show answer
Answer: (A) 6 km/h Downstream speed = 15, upstream = 3; stream = (downstream − upstream)/2 = 6 km/h.
Question 6

A speed of 72 km/h is equal to

  1. A20 m/s
  2. B25 m/s
  3. C36 m/s
  4. D15 m/s
Show answer
Answer: (A) 20 m/s Multiply by 5/18: 72 × 5/18 = 20 m/s.
Question 7

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

  1. A9 seconds
  2. B7 seconds
  3. C10 seconds
  4. D11 seconds
Show answer
Answer: (C) 10 seconds Speed = 90 × 5/18 = 25 m/s; time = 250 ÷ 25 = 10 s.
Question 8

A speed of 108 km/h is equal to

  1. A25 m/s
  2. B30 m/s
  3. C35 m/s
  4. D54 m/s
Show answer
Answer: (B) 30 m/s Multiply by 5/18: 108 × 5/18 = 30 m/s.
Question 9

A boat goes 39 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream?

  1. A4 km/h
  2. B3 km/h
  3. C6 km/h
  4. D7 km/h
Show answer
Answer: (B) 3 km/h Downstream speed = 13, upstream = 7; stream = (downstream − upstream)/2 = 3 km/h.
Question 10

A train 160 m long is running at 72 km/h. How long will it take to cross a pole?

  1. A6 seconds
  2. B8 seconds
  3. C7 seconds
  4. D5 seconds
Show answer
Answer: (B) 8 seconds Speed = 72 × 5/18 = 20 m/s; time = 160 ÷ 20 = 8 s.

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Question 11

A train 190 m long running at 90 km/h crosses a platform in 37 seconds. What is the length of the platform?

  1. A715 m
  2. B925 m
  3. C765 m
  4. D735 m
Show answer
Answer: (D) 735 m Distance covered = 25 × 37 = 925 m = train + platform, so platform = 735 m.
Question 12

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 km/h
  2. B45 km/h
  3. C42 km/h
  4. D40.5 km/h
Show answer
Answer: (A) 40 km/h For equal distances, average speed = 2ab/(a + b) = 40 km/h.
Question 13

A speed of 216 km/h is equal to

  1. A55 m/s
  2. B65 m/s
  3. C108 m/s
  4. D60 m/s
Show answer
Answer: (D) 60 m/s Multiply by 5/18: 216 × 5/18 = 60 m/s.
Question 14

A boat goes 72 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream?

  1. A7 km/h
  2. B12 km/h
  3. C6 km/h
  4. D18 km/h
Show answer
Answer: (C) 6 km/h Downstream speed = 24, upstream = 12; stream = (downstream − upstream)/2 = 6 km/h.
Question 15

A train 240 m long is running at 54 km/h. How long will it take to cross a pole?

  1. A14 seconds
  2. B13 seconds
  3. C15 seconds
  4. D16 seconds
Show answer
Answer: (D) 16 seconds Speed = 54 × 5/18 = 15 m/s; time = 240 ÷ 15 = 16 s.
Question 16

A train 60 m long running at 72 km/h crosses a platform in 30 seconds. What is the length of the platform?

  1. A540 m
  2. B520 m
  3. C570 m
  4. D600 m
Show answer
Answer: (A) 540 m Distance covered = 20 × 30 = 600 m = train + platform, so platform = 540 m.
Question 17

A person travels from P to Q at 20 km/h and returns at 30 km/h. What is the average speed for the whole journey?

  1. A26 km/h
  2. B24 km/h
  3. C25 km/h
  4. D29 km/h
Show answer
Answer: (B) 24 km/h For equal distances, average speed = 2ab/(a + b) = 24 km/h.
Question 18

A speed of 90 km/h is equal to

  1. A45 m/s
  2. B25 m/s
  3. C30 m/s
  4. D20 m/s
Show answer
Answer: (B) 25 m/s Multiply by 5/18: 90 × 5/18 = 25 m/s.
Question 19

A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream?

  1. A6 km/h
  2. B15 km/h
  3. C10 km/h
  4. D5 km/h
Show answer
Answer: (D) 5 km/h Downstream speed = 20, upstream = 10; stream = (downstream − upstream)/2 = 5 km/h.
Question 20

A train 600 m long is running at 108 km/h. How long will it take to cross a pole?

  1. A23 seconds
  2. B20 seconds
  3. C24 seconds
  4. D17 seconds
Show answer
Answer: (B) 20 seconds Speed = 108 × 5/18 = 30 m/s; time = 600 ÷ 30 = 20 s.

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

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