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NIC UIIC AO Speed, Time & Distance Questions with Answers & Explanations

20 Speed, Time & Distance questions from the Quantitative Aptitude section of NIC UIIC AO, 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 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream?

  1. A12 km/h
  2. B4 km/h
  3. C5 km/h
  4. D8 km/h
  5. ENone of these
Show answer
Answer: (B) 4 km/h Downstream speed = 16, upstream = 8; stream = (downstream − upstream)/2 = 4 km/h.
Question 2

A train 425 m long is running at 90 km/h. How long will it take to cross a pole?

  1. A19 seconds
  2. B15 seconds
  3. C17 seconds
  4. D13 seconds
  5. E14 seconds
Show answer
Answer: (C) 17 seconds Speed = 90 × 5/18 = 25 m/s; time = 425 ÷ 25 = 17 s.
Question 3

A train 60 m long is running at 36 km/h. How long will it take to cross a pole?

  1. A5 seconds
  2. B10 seconds
  3. C2 seconds
  4. D6 seconds
  5. E8 seconds
Show answer
Answer: (D) 6 seconds Speed = 36 × 5/18 = 10 m/s; time = 60 ÷ 10 = 6 s.
Question 4

A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream?

  1. A3 km/h
  2. B19 km/h
  3. C17 km/h
  4. D2 km/h
  5. E4 km/h
Show answer
Answer: (D) 2 km/h Downstream speed = 21, upstream = 17; stream = (downstream − upstream)/2 = 2 km/h.
Question 5

A train 360 m long is running at 108 km/h. How long will it take to cross a pole?

  1. A13 seconds
  2. B8 seconds
  3. C11 seconds
  4. D12 seconds
  5. E16 seconds
Show answer
Answer: (D) 12 seconds Speed = 108 × 5/18 = 30 m/s; time = 360 ÷ 30 = 12 s.
Question 6

A boat goes 39 km downstream in 3 hours and 27 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
  5. E9 km/h
Show answer
Answer: (B) 2 km/h Downstream speed = 13, upstream = 9; stream = (downstream − upstream)/2 = 2 km/h.
Question 7

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

  1. A13 seconds
  2. B10 seconds
  3. C7 seconds
  4. D12 seconds
  5. E14 seconds
Show answer
Answer: (B) 10 seconds Speed = 108 × 5/18 = 30 m/s; time = 300 ÷ 30 = 10 s.
Question 8

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

  1. A15 km/h
  2. B19 km/h
  3. C4 km/h
  4. D5 km/h
  5. E8 km/h
Show answer
Answer: (C) 4 km/h Downstream speed = 23, upstream = 15; stream = (downstream − upstream)/2 = 4 km/h.
Question 9

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

  1. A4 seconds
  2. B6 seconds
  3. C10 seconds
  4. D2 seconds
  5. E9 seconds
Show answer
Answer: (B) 6 seconds Speed = 90 × 5/18 = 25 m/s; time = 150 ÷ 25 = 6 s.
Question 10

A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream?

  1. A5 km/h
  2. B14 km/h
  3. C18 km/h
  4. D4 km/h
  5. E8 km/h
Show answer
Answer: (D) 4 km/h Downstream speed = 22, upstream = 14; stream = (downstream − upstream)/2 = 4 km/h.

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Question 11

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

  1. A6 km/h
  2. B10 km/h
  3. C7 km/h
  4. D4 km/h
  5. E3 km/h
Show answer
Answer: (E) 3 km/h Downstream speed = 13, upstream = 7; stream = (downstream − upstream)/2 = 3 km/h.
Question 12

A train 150 m long is running at 36 km/h. How long will it take to cross a pole?

  1. A15 seconds
  2. B19 seconds
  3. C18 seconds
  4. D13 seconds
  5. E14 seconds
Show answer
Answer: (A) 15 seconds Speed = 36 × 5/18 = 10 m/s; time = 150 ÷ 10 = 15 s.
Question 13

A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream?

  1. A5 km/h
  2. B13 km/h
  3. C9 km/h
  4. D4 km/h
  5. E8 km/h
Show answer
Answer: (D) 4 km/h Downstream speed = 17, upstream = 9; stream = (downstream − upstream)/2 = 4 km/h.
Question 14

A train 260 m long is running at 72 km/h. How long will it take to cross a pole?

  1. A13 seconds
  2. B15 seconds
  3. C11 seconds
  4. D12 seconds
  5. E17 seconds
Show answer
Answer: (A) 13 seconds Speed = 72 × 5/18 = 20 m/s; time = 260 ÷ 20 = 13 s.
Question 15

A train 540 m long is running at 108 km/h. How long will it take to cross a pole?

  1. A15 seconds
  2. B16 seconds
  3. C18 seconds
  4. D20 seconds
  5. E17 seconds
Show answer
Answer: (C) 18 seconds Speed = 108 × 5/18 = 30 m/s; time = 540 ÷ 30 = 18 s.
Question 16

A boat goes 57 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream?

  1. A6 km/h
  2. B13 km/h
  3. C7 km/h
  4. D12 km/h
  5. ENone of these
Show answer
Answer: (A) 6 km/h Downstream speed = 19, upstream = 7; stream = (downstream − upstream)/2 = 6 km/h.
Question 17

A train 100 m long is running at 36 km/h. How long will it take to cross a pole?

  1. A13 seconds
  2. B10 seconds
  3. C8 seconds
  4. D12 seconds
  5. E7 seconds
Show answer
Answer: (B) 10 seconds Speed = 36 × 5/18 = 10 m/s; time = 100 ÷ 10 = 10 s.
Question 18

A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream?

  1. A5 km/h
  2. B4 km/h
  3. C8 km/h
  4. D13 km/h
  5. E17 km/h
Show answer
Answer: (B) 4 km/h Downstream speed = 21, upstream = 13; stream = (downstream − upstream)/2 = 4 km/h.
Question 19

A train 330 m long is running at 108 km/h. How long will it take to cross a pole?

  1. A13 seconds
  2. B10 seconds
  3. C11 seconds
  4. D9 seconds
  5. E15 seconds
Show answer
Answer: (C) 11 seconds Speed = 108 × 5/18 = 30 m/s; time = 330 ÷ 30 = 11 s.
Question 20

A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream?

  1. A2 km/h
  2. B18 km/h
  3. C4 km/h
  4. D16 km/h
  5. E3 km/h
Show answer
Answer: (A) 2 km/h Downstream speed = 20, upstream = 16; stream = (downstream − upstream)/2 = 2 km/h.

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

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