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 2 of 6
- A. 2:5
- B. 5:3
- C. 3:5
- D. 1:2
Explanation: Let each section XY and YZ be d km, and let the still-water and current speeds be u km/h and v km/h.
Correct answer: 5:3- A. 22 km/hr
- B. 33 km/hr
- C. 66 km/hr
- D. 44 km/hr
Explanation: If the car's speed is c km/h and its length is L metres, then its relative speeds are c - 6 and c - 12 km/h.
Correct answer: 66 km/hr- A. 70.24 km/hr
- B. 74. 24 km/hr
- C. 71.11 km/hr
- D. 72.21 km/hr
Explanation: The first 160 km takes 160 km / 64 km/h = 2.5 hours, and the next 160 km takes 160 km / 80 km/h = 2 hours.
Correct answer: 71.11 km/hr- A. 14.4 minutes
- B. 20 minutes
- C. 28.8 minutes
- D. 32 minutes
Explanation: Two thirds of 24 miles is 16 miles, taking 16/40 hour = 0.4 hour = 24 minutes.
Correct answer: 32 minutes- A. 4.5 kmph
- B. 4.8 kmph
- C. 5 kmph
- D. 5.1 kmph
Explanation: The total distance is 2 km + 2 km = 4 km. The total time is 2/6 hour + 2/4 hour = 1/3 hour + 1/2 hour = 5/6 hour, so average speed = 4 km…
Correct answer: 4.8 kmph- A. 1.8 km/hr
- B. 3 km/hr
- C. 3.6 km/hr
- D. 4 km/hr
Explanation: If the river speed is v km/hr, upstream speed is 6 - v kmph and downstream speed is 6 + v kmph.
Correct answer: 3.6 km/hr- A. 0.60 minutes
- B. 0.36 minutes
- C. 0.78 minutes
- D. 0.42 minutes
Explanation: For trains moving in the same direction, relative speed is 60 - 40 = 20 kmph = 20 x 1000/60 = 1000/3 metres per minute.
Correct answer: 0.78 minutes- A. 2:5
- B. 4:3
- C. 1:2
- D. 1:1
Explanation: Yalmaz's speed is 400 m ÷ 120 s = 10/3 m/s. Rayan's speed is 1000 m ÷ 300 s = 10/3 m/s, so their speed ratio is 1:1.
Correct answer: 1:1- A. 6:8
- B. 3:7
- C. 5:4
- D. 4:3
Explanation: For the same distance, time is inversely proportional to speed. Thus if the speed ratio A:B is 3:4, the time ratio is 1/3:1/4, which…
Correct answer: 4:3- A. 20 km
- B. 40 km
- C. 30 km
- D. 10 km
Explanation: The upstream speed is 7 - 3 = 4 kmph and the downstream speed is 7 + 3 = 10 kmph.
Correct answer: 40 km- A. 36
- B. 24
- C. 30
- D. 18
Explanation: At 4/5 of his usual speed, the travel time becomes 5/4 of the usual time.
Correct answer: 24- A. 17 hr
- B. 14 hr
- C. 12 hr
- D. 19 hr
Explanation: Their relative speed is 5.5 kmph - 5 kmph = 0.5 kmph. The time to become 8.5 km apart is 8.5 km ÷ 0.5 kmph = 17 hours.
Correct answer: 17 hr- A. 30 kmph
- B. 27 kmph
- C. 25 kmph
- D. 20 kmph
Explanation: The distance covered is 24 kmph x 50/60 hour = 20 km. To cover 20 km in 40/60 hour, the required speed is 20 km ÷ 2/3 hour = 30 kmph.
Correct answer: 30 kmph- A. 9
- B. 10
- C. 12
- D. 20
Explanation: In one hour, the bus covers 45 km including stoppages, while its running speed is 54 kmph.
Correct answer: 10- A. (7 , 3) km/hr
- B. (6 , 4) km/hr
- C. (10 , 4) km/hr
- D. None of these
Explanation: The downstream speed is 50 km ÷ 5 hours = 10 kmph, and the upstream speed is 24 km ÷ 6 hours = 4 kmph.
Correct answer: (7 , 3) km/hr- A. 2.5 km
- B. 7.2 km
- C. 7 km
- D. 3.6 km
Explanation: The total walking time is 9 am - 6 am = 3 hours. If the distance is D km, the outward and return times give D/2 hour + D/3 hour = 3 hours…
Correct answer: 3.6 km- A. 80 kmph
- B. 102 kmph
- C. 120 kmph
- D. 140 kmph
Explanation: Let the car speed be v kmph, so the train speed is 1.5v kmph. Their running-time difference is 75/v hours - 75/(1.5v) hours = 25/v hours…
Correct answer: 120 kmph- A. 5
- B. 6
- C. 7
- D. 8
Explanation: Moving in opposite directions, their relative rate is 2 rounds/hour + 3 rounds/hour = 5 rounds/hour.
Correct answer: 7- A. 5 kmph
- B. 4 kmph
- C. 4.5 kmph
- D. 3 kmph
Explanation: At 6 kmph, the 12 km journey takes 12/6 = 2 hours, so leaving at 7:00 am leads to a 9:00 am arrival.
Correct answer: 4 kmph- A. 50 km
- B. 45 km
- C. 40 km
- D. 30 km
Explanation: Let the track length be D km. The time saved is D/150 hour - D/180 hour = 3 minutes = 1/20 hour; since the difference is D/900 hour, D/900…
Correct answer: 45 km