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Time, Speed & Distance MCQs 2026

45 questions with detailed answers · 19 from past papers · 5 quiz batches available

📚 Maths Mcqs 📄 19 Past-Paper Qs ✓ Free · No Login Needed
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Read each question, think about the answer, then click Show Answer to reveal the correct option and explanation. Load 10 at a time so it stays manageable — perfect for one-topic study sessions on the bus or during a break.

Page 1 of 1 Questions 1–10 of 45
  1. Q1 easy

    A car travels at 60 km/h for 2.5 hours. How much distance does it cover

    1. A 150 km
    2. B 140 km
    3. C 160 km
    4. D 130 km
    💡 Explanation:

    Distance = speed x time = 60 x 2.5 = 150 km.

  2. Q2 easy

    A man walks at a speed of 5 km/h. How much time will he take to cover 20 km

    1. A 3 hours
    2. B 4 hours
    3. C 5 hours
    4. D 6 hours
    💡 Explanation:

    Time = distance/speed = 20/5 = 4 hours.

  3. Q3 easy

    A boat can travel at 10 km/h in still water. If the speed of the stream is 2 km/h, what is the speed of the boat downstream

    1. A 10 km/h
    2. B 11 km/h
    3. C 12 km/h
    4. D 14 km/h
    💡 Explanation:

    Downstream speed = boat speed + stream speed = 10+2 = 12 km/h.

  4. Q4 medium

    A car travels the first 100 km at 50 km/h and the next 100 km at 40 km/h. Find the average speed for the entire journey

    1. A 45 km/h
    2. B 42 km/h
    3. C 48 km/h
    4. D 44.44 km/h
    💡 Explanation:

    Average speed = 2x50x40/90 = 44.44 km/h.

  5. Q5 Past Paper · PPSC/FPSC/NTS hard

    A man can row a boat at 6 km/h in still water. If the river runs at 2 km/h, it takes him 3 hours to row to a place and back. How far is the place

    1. A 8 km
    2. B 6 km
    3. C 10 km
    4. D 12 km
    💡 Explanation:

    Downstream=8 km/h, upstream=4 km/h; d/8+d/4=3 gives d=8 km.

  6. Q6 Past Paper · PPSC/FPSC/NTS medium

    Excluding stoppages, the speed of a bus is 54 km/h and including stoppages it is 45 km/h. For how many minutes does the bus stop per hour

    1. A 8 minutes
    2. B 10 minutes
    3. C 12 minutes
    4. D 15 minutes
    💡 Explanation:

    Speed loss = 9 km/h of 54; time lost per hour = (9/54)x60 = 10 minutes.

  7. Q7 Past Paper · PPSC/FPSC/NTS medium

    A train running at 60 km/h crosses a pole in 9 seconds. What is the length of the train

    1. A 120 m
    2. B 140 m
    3. C 150 m
    4. D 160 m
    💡 Explanation:

    Speed = 60x5/18 = 50/3 m/s; length = 50/3 x 9 = 150 m.

  8. Q8 medium

    A 200 m long train crosses a platform of equal length in 20 seconds. What is the speed of the train in km/h

    1. A 60 km/h
    2. B 65 km/h
    3. C 70 km/h
    4. D 72 km/h
    💡 Explanation:

    Total distance 400 m in 20 s = 20 m/s = 72 km/h.

  9. Q9 easy

    Two men start from the same point, walking in opposite directions at 4 km/h and 6 km/h respectively. How far apart will they be after 3 hours

    1. A 30 km
    2. B 28 km
    3. C 32 km
    4. D 25 km
    💡 Explanation:

    Relative speed = 10 km/h; distance = 10x3 = 30 km.

  10. Q10 easy

    A boat's speed in still water is 15 km/h and the speed of the stream is 3 km/h. What is the speed of the boat upstream

    1. A 15 km/h
    2. B 10 km/h
    3. C 18 km/h
    4. D 12 km/h
    💡 Explanation:

    Upstream speed = boat speed - stream speed = 15-3 = 12 km/h.

  11. Q11 medium

    A person covers half of his journey at 20 km/h and the remaining half at 30 km/h. Find his average speed for the whole journey

    1. A 22 km/h
    2. B 26 km/h
    3. C 24 km/h
    4. D 25 km/h
    💡 Explanation:

    Average speed for equal distances = 2ab/(a+b) = 2x20x30/50 = 24 km/h.

  12. Q12 Past Paper · PPSC/FPSC/NTS hard

    A man can row 12 km/h in still water. If in a river running at 2 km/h it takes him 4 hours 48 minutes to row to a place and back, how far is the place

    1. A 24 km
    2. B 32 km
    3. C 30 km
    4. D 28 km
    💡 Explanation:

    Downstream=14, upstream=10; d/14+d/10=4.8 gives d=28 km.

  13. Q13 Past Paper · PPSC/FPSC/NTS easy

    A bus travels at a speed of 40 km/h when empty, but decreases its speed by 20% when fully loaded. What is the speed of the fully loaded bus

    1. A 30 km/h
    2. B 36 km/h
    3. C 34 km/h
    4. D 32 km/h
    💡 Explanation:

    Loaded speed = 40 x 0.8 = 32 km/h.

  14. Q14 Past Paper · PPSC/FPSC/NTS hard

    A journey of 192 km takes 2 hours less if the speed is increased by 8 km/h. Find the original speed

    1. A 20 km/h
    2. B 22 km/h
    3. C 24 km/h
    4. D 28 km/h
    💡 Explanation:

    Solving 192/s - 192/(s+8) = 2 gives s^2+8s-768=0, so s = 24 km/h.

  15. Q15 hard

    A thief is spotted by a policeman from a distance of 200 m. The thief runs at 10 km/h and the policeman chases at 12 km/h. How far will the thief have run before being overtaken

    1. A 800 m
    2. B 1000 m
    3. C 1200 m
    4. D 900 m
    💡 Explanation:

    Relative speed = 2 km/h closes 0.2 km in 0.1 h; thief runs 10x0.1 = 1 km = 1000 m.

  16. Q16 medium

    A is 30% faster than B. If B takes 26 minutes to complete a task, how much time does A take

    1. A 18 minutes
    2. B 22 minutes
    3. C 20 minutes
    4. D 24 minutes
    💡 Explanation:

    A's time = B's time / 1.3 = 26/1.3 = 20 minutes.

  17. Q17 hard

    Walking at 3/4 of his usual speed, a man is 20 minutes late to office. What is his usual time to cover the distance

    1. A 40 minutes
    2. B 45 minutes
    3. C 50 minutes
    4. D 60 minutes
    💡 Explanation:

    New time = 4/3 of usual time; the extra 1/3 equals 20 minutes, so usual time = 60 minutes.

  18. Q18 Past Paper · PPSC/FPSC/NTS hard

    In a 100 m race, A beats B by 20 m. If A's time to finish is 25 seconds, by how much time does A beat B

    1. A 6.25 seconds
    2. B 5 seconds
    3. C 7.5 seconds
    4. D 8 seconds
    💡 Explanation:

    B covers 80 m in 25 s (speed 3.2 m/s); B's time for 100 m = 31.25 s, so A beats B by 6.25 seconds.

  19. Q19 medium

    A and B run around a circular track of length 600 m at speeds of 15 m/s and 10 m/s. Starting together in the same direction, after how much time will they meet again

    1. A 100 seconds
    2. B 120 seconds
    3. C 150 seconds
    4. D 90 seconds
    💡 Explanation:

    Relative speed = 5 m/s; time = 600/5 = 120 seconds.

  20. Q20 Past Paper · PPSC/FPSC/NTS easy

    Two trains start at the same time from stations A and B towards each other, 300 km apart, with speeds 60 km/h and 40 km/h. After how much time will they meet

    1. A 2.5 hours
    2. B 3.5 hours
    3. C 3 hours
    4. D 4 hours
    💡 Explanation:

    Relative speed = 100 km/h; time = 300/100 = 3 hours.

  21. Q21 medium

    A car covers a distance of 300 km in 5 hours. If the speed is increased by 15 km/h, how much time will it take to cover the same distance

    1. A 5 hours
    2. B 4.5 hours
    3. C 3.5 hours
    4. D 4 hours
    💡 Explanation:

    Original speed = 60 km/h; new speed = 75 km/h; time = 300/75 = 4 hours.

  22. Q22 hard

    A man walking at 5 km/h crosses a square field diagonally in 6 minutes. Find the area of the field

    1. A 12.5 hectares
    2. B 10 hectares
    3. C 15 hectares
    4. D 11 hectares
    💡 Explanation:

    Distance covered = diagonal = 500 m; area = diagonal^2/2 = 125000 sq m = 12.5 hectares.

  23. Q23 hard

    A train speeds past a pole in 20 seconds and a platform 300 m long in 40 seconds. What is the length of the train

    1. A 250 m
    2. B 300 m
    3. C 350 m
    4. D 400 m
    💡 Explanation:

    Let length=L, speed=v: L=20v and L+300=40v give v=15 m/s, so L=300 m.

  24. Q24 hard

    A boat goes 24 km upstream and 28 km downstream in 6 hours, and 30 km upstream and 21 km downstream in 6.5 hours. Find the speed of the boat in still water

    1. A 8 km/h
    2. B 9 km/h
    3. C 11 km/h
    4. D 10 km/h
    💡 Explanation:

    Solving the two equations gives upstream speed 6 km/h and downstream speed 14 km/h, so still water speed = 10 km/h.

  25. Q25 Past Paper · PPSC/FPSC/NTS medium

    Excluding stoppages, a train travels a certain distance at 80 km/h and, including stoppages, it covers the same distance at 60 km/h. How many minutes per hour does the train stop

    1. A 10 minutes
    2. B 12 minutes
    3. C 15 minutes
    4. D 18 minutes
    💡 Explanation:

    Speed loss = 20 km/h of 80; time stopped per hour = (20/80)x60 = 15 minutes.

  26. Q26 hard

    For the man in the previous question (downstream 8 km/h, upstream 6 km/h), find his speed in still water

    1. A 6 km/h
    2. B 7 km/h
    3. C 8 km/h
    4. D 9 km/h
    💡 Explanation:

    Still water speed = (8+6)/2 = 7 km/h.

  27. Q27 hard

    A man rows to a place 48 km distant and back in 14 hours. He finds he can row 4 km with the stream in the same time as 3 km against it. Find the rate of the stream

    1. A 1 km/h
    2. B 2 km/h
    3. C 1.5 km/h
    4. D 0.5 km/h
    💡 Explanation:

    Downstream:upstream speed ratio = 4:3; solving 48/(4x)+48/(3x)=14 gives x=2, so downstream=8, upstream=6, stream=1 km/h.

  28. Q28 Past Paper · PPSC/FPSC/NTS easy

    A cyclist covers a distance of 15 km in 45 minutes. What is his speed in km/h

    1. A 15 km/h
    2. B 18 km/h
    3. C 16 km/h
    4. D 20 km/h
    💡 Explanation:

    Speed = 15/(45/60) = 20 km/h.

  29. Q29 Past Paper · PPSC/FPSC/NTS easy

    A car moving at a speed of 90 km/h covers a certain distance in 40 minutes. What is the distance covered

    1. A 50 km
    2. B 55 km
    3. C 60 km
    4. D 65 km
    💡 Explanation:

    Distance = 90 x 40/60 = 60 km.

  30. Q30 hard

    A thief runs away from a police station at 8 km/h. After 1 hour a policeman starts chasing him at 10 km/h. After what time will the policeman catch the thief

    1. A 3 hours
    2. B 4 hours
    3. C 5 hours
    4. D 6 hours
    💡 Explanation:

    Head start distance = 8 km; relative speed = 2 km/h; time to catch = 8/2 = 4 hours.

  31. Q31 medium

    Two trains of length 100 m each are running towards each other on parallel tracks at speeds 30 km/h and 42 km/h. In what time will they cross each other

    1. A 10 seconds
    2. B 12 seconds
    3. C 8 seconds
    4. D 15 seconds
    💡 Explanation:

    Relative speed = 72 km/h = 20 m/s; total length = 200 m; time = 10 seconds.

  32. Q32 Past Paper · PPSC/FPSC/NTS medium

    A train 100 m long is running at a speed of 30 km/h. Find the time taken by it to cross a man standing near the railway line

    1. A 9 seconds
    2. B 10 seconds
    3. C 15 seconds
    4. D 12 seconds
    💡 Explanation:

    Speed = 30x5/18 = 25/3 m/s; time = 100/(25/3) = 12 seconds.

  33. Q33 medium

    For the man in the previous question (upstream 8 km/h, downstream 12 km/h), find the speed of the current

    1. A 1 km/h
    2. B 1.5 km/h
    3. C 2 km/h
    4. D 2.5 km/h
    💡 Explanation:

    Current speed = (downstream - upstream)/2 = (12-8)/2 = 2 km/h.

  34. Q34 medium

    A man can row upstream at 8 km/h and downstream at 12 km/h. Find his speed in still water

    1. A 9 km/h
    2. B 10 km/h
    3. C 11 km/h
    4. D 12 km/h
    💡 Explanation:

    Still water speed = (upstream + downstream)/2 = (8+12)/2 = 10 km/h.

  35. Q35 hard

    For the boat in the previous question (upstream 6 km/h, downstream 14 km/h), find the speed of the stream

    1. A 4 km/h
    2. B 5 km/h
    3. C 3 km/h
    4. D 6 km/h
    💡 Explanation:

    Stream speed = (downstream - upstream)/2 = (14-6)/2 = 4 km/h.

  36. Q36 medium

    For the boat in the previous question (32 km downstream in 4 hours, upstream in 8 hours), find the speed of the stream

    1. A 1 km/h
    2. B 2 km/h
    3. C 3 km/h
    4. D 4 km/h
    💡 Explanation:

    Stream speed = (downstream - upstream)/2 = (8-4)/2 = 2 km/h.

  37. Q37 medium

    A boat covers 32 km downstream in 4 hours and returns upstream in 8 hours. Find the speed of the boat in still water

    1. A 6 km/h
    2. B 5 km/h
    3. C 7 km/h
    4. D 8 km/h
    💡 Explanation:

    Downstream speed=8, upstream speed=4; still water speed=(8+4)/2=6 km/h.

  38. Q38 Past Paper · PPSC/FPSC/NTS medium

    Two trains 120 m and 80 m long are running in the same direction at 42 km/h and 30 km/h. In what time will the faster train cross the slower one

    1. A 50 seconds
    2. B 55 seconds
    3. C 60 seconds
    4. D 65 seconds
    💡 Explanation:

    Relative speed = 12 km/h = 10/3 m/s; total length 200 m; time = 200/(10/3) = 60 seconds.

  39. Q39 Past Paper · PPSC/FPSC/NTS medium

    Two trains 100 m and 150 m long, running in opposite directions at 45 km/h and 55 km/h, cross each other in

    1. A 12 seconds
    2. B 15 seconds
    3. C 10 seconds
    4. D 9 seconds
    💡 Explanation:

    Relative speed = 100 km/h = 250/9 m/s; total length 250 m; time = 9 seconds.

  40. Q40 Past Paper · PPSC/FPSC/NTS easy

    A train travels 360 km in 4 hours. What is its speed in km/h

    1. A 90 km/h
    2. B 80 km/h
    3. C 100 km/h
    4. D 75 km/h
    💡 Explanation:

    Speed = distance/time = 360/4 = 90 km/h.

  41. Q41 Past Paper · PPSC/FPSC/NTS easy

    A train 150 m long passes a pole in 15 seconds. What is the speed of the train in km/h

    1. A 36 km/h
    2. B 40 km/h
    3. C 32 km/h
    4. D 45 km/h
    💡 Explanation:

    Speed = 150/15 = 10 m/s = 36 km/h.

  42. Q42 Past Paper · PPSC/FPSC/NTS easy

    Convert 72 km/h into m/s

    1. A 15 m/s
    2. B 20 m/s
    3. C 25 m/s
    4. D 18 m/s
    💡 Explanation:

    72 x 5/18 = 20 m/s.

  43. Q43 Past Paper · PPSC/FPSC/NTS easy

    Convert 25 m/s into km/h

    1. A 80 km/h
    2. B 85 km/h
    3. C 90 km/h
    4. D 95 km/h
    💡 Explanation:

    25 x 18/5 = 90 km/h.

  44. Q44 easy

    A man covers a distance of 600 m in 2 minutes. What is his speed in km/h

    1. A 15 km/h
    2. B 20 km/h
    3. C 12 km/h
    4. D 18 km/h
    💡 Explanation:

    600 m in 2 min = 300 m/min = 18 km/h.

  45. Q45 Past Paper · PPSC/FPSC/NTS medium

    A train 200 m long crosses a platform 300 m long in 25 seconds. What is the speed of the train in km/h

    1. A 60 km/h
    2. B 72 km/h
    3. C 80 km/h
    4. D 65 km/h
    💡 Explanation:

    Total distance 500 m in 25 s = 20 m/s = 72 km/h.

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