Free Time, Speed and Distance MCQs with Answers
112 Time, Speed and Distance MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Problems relate distance, speed and time through the formula distance = speed × time, including unit conversion, average speed, relative speed and motion in opposite or the same direction. Questions may involve trains, boats and streams, where the effective speed changes, so average speed must not be confused with the simple average of two speeds.
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112 questions · page 6 of 6
- A. 86 sec
- B. 80 sec
- C. 76 sec
- D. None of these
Explanation: When A completes 300 m, B has completed 277.5 m, so their speed ratio is A:B = 300:277.5 = 40:37.
Correct answer: 80 sec- A. 50
- B. 40
- C. 25
- D. 15
Explanation: A can give B 20 points in a game of 60, so A:B = 60:40 = 3:2. A can give C 30 points, so A:C = 60:30 = 2:1; hence B:C = 4:3.
Correct answer: 25- A. 57.5 m
- B. 127.5 m
- C. 150.7 m
- D. 98.6 m
Explanation: A beats B by 100 m in 1,000 m, so A:B = 1,000:900 = 10:9. B beats C by 100 m in 800 m, so B:C = 800:700 = 8:7; therefore A:C = 80:63.
Correct answer: 127.5 m- A. 150 m
- B. 125 m
- C. 130 m
- D. 100 m
Explanation: A's speed is 1,000 m ÷ 4.5 min, while B's speed is 1,000 m ÷ 5 min. In 4.5 minutes, B covers (1,000 ÷ 5) × 4.5 = 900 m, so A can give B…
Correct answer: 100 m- A. 200 sec
- B. 190 sec
- C. 210 sec
- D. 150 sec
Explanation: When A runs 1,000 m, B runs 950 m, so their speed ratio is A:B = 1,000:950 = 20:19.
Correct answer: 190 sec- A. 111.12 m
- B. 888.88 m
- C. 777.52 m
- D. 756.34 m
Explanation: A giving B a 100 m start gives A:B = 1,000:900 = 10:9, while A giving C a 200 m start gives A:C = 1,000:800 = 5:4.
Correct answer: 111.12 m- A. 19
- B. 28
- C. 30
- D. 37
Explanation: The elevators close a distance of 51 - 11 = 40 floors at a combined rate of 57 + 63 = 120 floors per minute, so their meeting time is…
Correct answer: 30- A. 5000 m/hr
- B. 5200m/hr
- C. 5400 m/hr
- D. 5600 m/hr
Explanation: The tank must receive 225 m × 162 m × 0.2 m = 7290 m3 of water in 5 h, so the flow rate is 7290 m3 ÷ 5 h = 1458 m3/h.
Correct answer: 5400 m/hr- A. 26hours
- B. 42hours
- C. 52hours
- D. 65hours
Explanation: The reservoir volume to be filled is 80 m × 60 m × 6.5 m = 31,200 m3. The pipe area is (0.2 m)2 = 0.04 m2, and water speed is 15 km/h =…
Correct answer: 52hours- A. 11 hours
- B. 12 hours
- C. 220 hours
- D. 22 hours
Explanation: To return to the starting point, each traveller must cover a whole number of 11 km laps.
Correct answer: 11 hours- A. 5 min
- B. 5.5 min
- C. 5.2 min
- D. None
Explanation: The bells meet again after the least common multiple of their intervals.
Correct answer: 5 min- A. 36km/h
- B. 45km/h
- C. 48km/h
- D. 50km/h
Explanation: For equal distances, average speed is total distance divided by total time, or 2uv/(u+v).
Correct answer: 48km/h