🎯 RankerClub is 100% Free — 97 full-length mock tests with an instant all-India rank. Register Free →
RankerClub
Log in Get Started Free
Log in Register Free

CRPF CT/CISF HC Speed, Time & Distance Questions with Answers & Explanations

20 Speed, Time & Distance questions from the Elementary Mathematics section of CRPF CT/CISF HC, 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.

Take the Elementary Mathematics test → CRPF CT/CISF HC full mocks
Question 1

A speed of 36 km/h is equal to

  1. A129.6 m/s
  2. B15 m/s
  3. C5 m/s
  4. D10 m/s
Show answer
Answer: (D) 10 m/s Multiply by 5/18: 36 × 5/18 = 10 m/s.
Question 2

A train 120 m long running at 90 km/h crosses a platform in 34 seconds. What is the length of the platform?

  1. A760 m
  2. B850 m
  3. C710 m
  4. D730 m
Show answer
Answer: (D) 730 m Distance covered = 25 × 34 = 850 m = train + platform, so platform = 730 m.
Question 3

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

  1. A8 km/h
  2. B17 km/h
  3. C4 km/h
  4. D13 km/h
Show answer
Answer: (C) 4 km/h Downstream speed = 21, upstream = 13; stream = (downstream − upstream)/2 = 4 km/h.
Question 4

A person travels from P to Q at 40 km/h and returns at 60 km/h. What is the average speed for the whole journey?

  1. A53 km/h
  2. B45 km/h
  3. C48 km/h
  4. D50 km/h
Show answer
Answer: (C) 48 km/h For equal distances, average speed = 2ab/(a + b) = 48 km/h.
Question 5

A speed of 180 km/h is equal to

  1. A648 m/s
  2. B50 m/s
  3. C55 m/s
  4. D45 m/s
Show answer
Answer: (B) 50 m/s Multiply by 5/18: 180 × 5/18 = 50 m/s.
Question 6

A train 60 m long running at 36 km/h crosses a platform in 15 seconds. What is the length of the platform?

  1. A90 m
  2. B150 m
  3. C120 m
  4. D70 m
Show answer
Answer: (A) 90 m Distance covered = 10 × 15 = 150 m = train + platform, so platform = 90 m.
Question 7

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

  1. A9 seconds
  2. B10 seconds
  3. C12 seconds
  4. D11 seconds
Show answer
Answer: (C) 12 seconds Speed = 72 × 5/18 = 20 m/s; time = 240 ÷ 20 = 12 s.
Question 8

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

  1. A8 km/h
  2. B4 km/h
  3. C5 km/h
  4. D9 km/h
Show answer
Answer: (B) 4 km/h Downstream speed = 17, upstream = 9; stream = (downstream − upstream)/2 = 4 km/h.
Question 9

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. C45 km/h
  4. D37 km/h
Show answer
Answer: (B) 40 km/h For equal distances, average speed = 2ab/(a + b) = 40 km/h.
Question 10

A speed of 144 km/h is equal to

  1. A40 m/s
  2. B45 m/s
  3. C518.4 m/s
  4. D35 m/s
Show answer
Answer: (A) 40 m/s Multiply by 5/18: 144 × 5/18 = 40 m/s.

Ready for the real thing?
Timed Elementary Mathematics test · 25 questions · instant rank

Start free test
Question 11

A train 180 m long running at 54 km/h crosses a platform in 16 seconds. What is the length of the platform?

  1. A240 m
  2. B60 m
  3. C90 m
  4. D40 m
Show answer
Answer: (B) 60 m Distance covered = 15 × 16 = 240 m = train + platform, so platform = 60 m.
Question 12

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

  1. A17 seconds
  2. B16 seconds
  3. C13 seconds
  4. D15 seconds
Show answer
Answer: (D) 15 seconds Speed = 108 × 5/18 = 30 m/s; time = 450 ÷ 30 = 15 s.
Question 13

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

  1. A6 km/h
  2. B2 km/h
  3. C12 km/h
  4. D7 km/h
Show answer
Answer: (A) 6 km/h Downstream speed = 14, upstream = 2; stream = (downstream − upstream)/2 = 6 km/h.
Question 14

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. A74 km/h
  2. B75 km/h
  3. C69 km/h
  4. D72 km/h
Show answer
Answer: (D) 72 km/h For equal distances, average speed = 2ab/(a + b) = 72 km/h.
Question 15

A train 90 m long running at 36 km/h crosses a platform in 37 seconds. What is the length of the platform?

  1. A370 m
  2. B260 m
  3. C310 m
  4. D280 m
Show answer
Answer: (D) 280 m Distance covered = 10 × 37 = 370 m = train + platform, so platform = 280 m.
Question 16

A train 90 m long is running at 54 km/h. How long will it take to cross a pole?

  1. A6 seconds
  2. B5 seconds
  3. C10 seconds
  4. D7 seconds
Show answer
Answer: (A) 6 seconds Speed = 54 × 5/18 = 15 m/s; time = 90 ÷ 15 = 6 s.
Question 17

A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream?

  1. A5 km/h
  2. B20 km/h
  3. C15 km/h
  4. D10 km/h
Show answer
Answer: (A) 5 km/h Downstream speed = 25, upstream = 15; stream = (downstream − upstream)/2 = 5 km/h.
Question 18

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. C37 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 19

A speed of 36 km/h is equal to

  1. A10 m/s
  2. B15 m/s
  3. C5 m/s
  4. D18 m/s
Show answer
Answer: (A) 10 m/s Multiply by 5/18: 36 × 5/18 = 10 m/s.
Question 20

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. A57 km/h
  2. B60 km/h
  3. C62 km/h
  4. D65 km/h
Show answer
Answer: (B) 60 km/h For equal distances, average speed = 2ab/(a + b) = 60 km/h.

These are RankerClub practice questions written in the CRPF CT/CISF HC pattern. They are not official SSC/IBPS/RRB papers.

More Elementary Mathematics topics

Number System 32 Qs Profit, Loss & Discount 23 Qs Mensuration 20 Qs Percentage 19 Qs Average 18 Qs Partnership 18 Qs Ratio & Proportion 18 Qs Simple & Compound Interest 18 Qs

All CRPF CT/CISF HC topics →