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MAT Speed, Time & Distance Questions with Answers & Explanations

20 Speed, Time & Distance questions from the Mathematical Skills section of MAT, 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 130 m long running at 90 km/h crosses a platform in 29 seconds. What is the length of the platform?

  1. A625 m
  2. B575 m
  3. C725 m
  4. D595 m
Show answer
Answer: (D) 595 m Distance covered = 25 × 29 = 725 m = train + platform, so platform = 595 m.
Question 2

A speed of 36 km/h is equal to

  1. A10 m/s
  2. B18 m/s
  3. C15 m/s
  4. D129.6 m/s
Show answer
Answer: (A) 10 m/s Multiply by 5/18: 36 × 5/18 = 10 m/s.
Question 3

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. A33 km/h
  2. B38 km/h
  3. C37.5 km/h
  4. D36 km/h
Show answer
Answer: (D) 36 km/h For equal distances, average speed = 2ab/(a + b) = 36 km/h.
Question 4

A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream?

  1. A3 km/h
  2. B13 km/h
  3. C4 km/h
  4. D2 km/h
Show answer
Answer: (D) 2 km/h Downstream speed = 17, upstream = 13; stream = (downstream − upstream)/2 = 2 km/h.
Question 5

A train 450 m long is running at 108 km/h. How long will it take to cross a pole?

  1. A13 seconds
  2. B15 seconds
  3. C14 seconds
  4. D19 seconds
Show answer
Answer: (B) 15 seconds Speed = 108 × 5/18 = 30 m/s; time = 450 ÷ 30 = 15 s.
Question 6

A train 50 m long running at 36 km/h crosses a platform in 19 seconds. What is the length of the platform?

  1. A170 m
  2. B190 m
  3. C140 m
  4. D120 m
Show answer
Answer: (C) 140 m Distance covered = 10 × 19 = 190 m = train + platform, so platform = 140 m.
Question 7

A speed of 198 km/h is equal to

  1. A50 m/s
  2. B99 m/s
  3. C60 m/s
  4. D55 m/s
Show answer
Answer: (D) 55 m/s Multiply by 5/18: 198 × 5/18 = 55 m/s.
Question 8

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. A48 km/h
  2. B53 km/h
  3. C45 km/h
  4. D50 km/h
Show answer
Answer: (A) 48 km/h For equal distances, average speed = 2ab/(a + b) = 48 km/h.
Question 9

A train 220 m long is running at 72 km/h. How long will it take to cross a pole?

  1. A9 seconds
  2. B13 seconds
  3. C8 seconds
  4. D11 seconds
Show answer
Answer: (D) 11 seconds Speed = 72 × 5/18 = 20 m/s; time = 220 ÷ 20 = 11 s.
Question 10

A train 60 m long running at 54 km/h crosses a platform in 24 seconds. What is the length of the platform?

  1. A330 m
  2. B360 m
  3. C280 m
  4. D300 m
Show answer
Answer: (D) 300 m Distance covered = 15 × 24 = 360 m = train + platform, so platform = 300 m.

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Question 11

A speed of 90 km/h is equal to

  1. A20 m/s
  2. B324 m/s
  3. C25 m/s
  4. D45 m/s
Show answer
Answer: (C) 25 m/s Multiply by 5/18: 90 × 5/18 = 25 m/s.
Question 12

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. A67.5 km/h
  2. B57 km/h
  3. C62 km/h
  4. D60 km/h
Show answer
Answer: (D) 60 km/h For equal distances, average speed = 2ab/(a + b) = 60 km/h.
Question 13

A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream?

  1. A5 km/h
  2. B12 km/h
  3. C10 km/h
  4. D6 km/h
Show answer
Answer: (A) 5 km/h Downstream speed = 17, upstream = 7; stream = (downstream − upstream)/2 = 5 km/h.
Question 14

A train 195 m long is running at 54 km/h. How long will it take to cross a pole?

  1. A10 seconds
  2. B15 seconds
  3. C13 seconds
  4. D12 seconds
Show answer
Answer: (C) 13 seconds Speed = 54 × 5/18 = 15 m/s; time = 195 ÷ 15 = 13 s.
Question 15

A train 140 m long running at 54 km/h crosses a platform in 22 seconds. What is the length of the platform?

  1. A330 m
  2. B190 m
  3. C170 m
  4. D220 m
Show answer
Answer: (B) 190 m Distance covered = 15 × 22 = 330 m = train + platform, so platform = 190 m.
Question 16

A speed of 54 km/h is equal to

  1. A27 m/s
  2. B20 m/s
  3. C15 m/s
  4. D10 m/s
Show answer
Answer: (C) 15 m/s Multiply by 5/18: 54 × 5/18 = 15 m/s.
Question 17

A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream?

  1. A3 km/h
  2. B4 km/h
  3. C6 km/h
  4. D9 km/h
Show answer
Answer: (A) 3 km/h Downstream speed = 15, upstream = 9; stream = (downstream − upstream)/2 = 3 km/h.
Question 18

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

  1. A18 seconds
  2. B16 seconds
  3. C24 seconds
  4. D20 seconds
Show answer
Answer: (D) 20 seconds Speed = 108 × 5/18 = 30 m/s; time = 600 ÷ 30 = 20 s.
Question 19

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. B53 km/h
  3. C48 km/h
  4. D45 km/h
Show answer
Answer: (C) 48 km/h For equal distances, average speed = 2ab/(a + b) = 48 km/h.
Question 20

A speed of 180 km/h is equal to

  1. A45 m/s
  2. B50 m/s
  3. C648 m/s
  4. D55 m/s
Show answer
Answer: (B) 50 m/s Multiply by 5/18: 180 × 5/18 = 50 m/s.

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

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