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DSSSB PRT/TGT Speed, Time & Distance Questions with Answers & Explanations

20 Speed, Time & Distance questions from the Arithmetical & Numerical Ability section of DSSSB PRT/TGT, 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 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. B45 km/h
  3. C37 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 2

A train 270 m long is running at 54 km/h. How long will it take to cross a pole?

  1. A20 seconds
  2. B16 seconds
  3. C21 seconds
  4. D18 seconds
Show answer
Answer: (D) 18 seconds Speed = 54 × 5/18 = 15 m/s; time = 270 ÷ 15 = 18 s.
Question 3

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

  1. A12 km/h
  2. B2 km/h
  3. C8 km/h
  4. D6 km/h
Show answer
Answer: (D) 6 km/h Downstream speed = 14, upstream = 2; stream = (downstream − upstream)/2 = 6 km/h.
Question 4

A train 100 m long running at 72 km/h crosses a platform in 28 seconds. What is the length of the platform?

  1. A440 m
  2. B560 m
  3. C460 m
  4. D490 m
Show answer
Answer: (C) 460 m Distance covered = 20 × 28 = 560 m = train + platform, so platform = 460 m.
Question 5

A speed of 144 km/h is equal to

  1. A40 m/s
  2. B518.4 m/s
  3. C45 m/s
  4. D72 m/s
Show answer
Answer: (A) 40 m/s Multiply by 5/18: 144 × 5/18 = 40 m/s.
Question 6

A train 160 m long running at 72 km/h crosses a platform in 19 seconds. What is the length of the platform?

  1. A220 m
  2. B380 m
  3. C250 m
  4. D200 m
Show answer
Answer: (A) 220 m Distance covered = 20 × 19 = 380 m = train + platform, so platform = 220 m.
Question 7

A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream?

  1. A15 km/h
  2. B11 km/h
  3. C4 km/h
  4. D5 km/h
Show answer
Answer: (C) 4 km/h Downstream speed = 19, upstream = 11; stream = (downstream − upstream)/2 = 4 km/h.
Question 8

A train 240 m long is running at 72 km/h. How long will it take to cross a pole?

  1. A12 seconds
  2. B8 seconds
  3. C16 seconds
  4. D10 seconds
Show answer
Answer: (A) 12 seconds Speed = 72 × 5/18 = 20 m/s; time = 240 ÷ 20 = 12 s.
Question 9

A speed of 162 km/h is equal to

  1. A40 m/s
  2. B583.2 m/s
  3. C50 m/s
  4. D45 m/s
Show answer
Answer: (D) 45 m/s Multiply by 5/18: 162 × 5/18 = 45 m/s.
Question 10

A train 130 m long running at 72 km/h crosses a platform in 16 seconds. What is the length of the platform?

  1. A190 m
  2. B170 m
  3. C320 m
  4. D220 m
Show answer
Answer: (A) 190 m Distance covered = 20 × 16 = 320 m = train + platform, so platform = 190 m.

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Question 11

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. B7 km/h
  3. C9 km/h
  4. D12 km/h
Show answer
Answer: (A) 6 km/h Downstream speed = 15, upstream = 3; stream = (downstream − upstream)/2 = 6 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. A77 km/h
  2. B74 km/h
  3. C72 km/h
  4. D75 km/h
Show answer
Answer: (C) 72 km/h For equal distances, average speed = 2ab/(a + b) = 72 km/h.
Question 13

A train 375 m long is running at 90 km/h. How long will it take to cross a pole?

  1. A17 seconds
  2. B14 seconds
  3. C18 seconds
  4. D15 seconds
Show answer
Answer: (D) 15 seconds Speed = 90 × 5/18 = 25 m/s; time = 375 ÷ 25 = 15 s.
Question 14

A train 100 m long running at 90 km/h crosses a platform in 38 seconds. What is the length of the platform?

  1. A830 m
  2. B880 m
  3. C850 m
  4. D950 m
Show answer
Answer: (C) 850 m Distance covered = 25 × 38 = 950 m = train + platform, so platform = 850 m.
Question 15

A boat goes 66 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream?

  1. A5 km/h
  2. B10 km/h
  3. C17 km/h
  4. D6 km/h
Show answer
Answer: (A) 5 km/h Downstream speed = 22, upstream = 12; stream = (downstream − upstream)/2 = 5 km/h.
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. B60 km/h
  3. C57 km/h
  4. D67.5 km/h
Show answer
Answer: (B) 60 km/h For equal distances, average speed = 2ab/(a + b) = 60 km/h.
Question 17

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

  1. A20 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 18

A speed of 72 km/h is equal to

  1. A25 m/s
  2. B15 m/s
  3. C20 m/s
  4. D36 m/s
Show answer
Answer: (C) 20 m/s Multiply by 5/18: 72 × 5/18 = 20 m/s.
Question 19

A train 50 m long running at 90 km/h crosses a platform in 22 seconds. What is the length of the platform?

  1. A530 m
  2. B500 m
  3. C480 m
  4. D550 m
Show answer
Answer: (B) 500 m Distance covered = 25 × 22 = 550 m = train + platform, so platform = 500 m.
Question 20

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

  1. A8 km/h
  2. B5 km/h
  3. C9 km/h
  4. D4 km/h
Show answer
Answer: (D) 4 km/h Downstream speed = 13, upstream = 5; stream = (downstream − upstream)/2 = 4 km/h.

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

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