Time Speed and Distance MCQs

Maths

Time Speed and Distance MCQs

Practice Time, Speed and Distance MCQs with answers and detailed solutions. Learn train problems, boats and streams, relative speed, average speed, races, journeys and advanced quantitative aptitude questions for competitive examinations.

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Question #621
Two standard passenger trains 160 meters and 140 meters long run on parallel tracks in opposite directions at 42 km/h and 30 km/h. Find the time needed to cross each other completely.
A. 13 seconds
B. 15 seconds
C. 19 seconds
D. 17 seconds
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Correct Answer: Option B

Explanation:
Total distance = 160 + 140 = 300 meters. Relative speed = 42 + 30 = 72 km/h = 20 m/s. Time taken = 300 / 20 = 15 seconds.
This question belongs to: Maths Time Speed and Distance
Question #622
Two express trains 220 meters and 180 meters long are tracking parallel in identical directions at speeds of 90 km/h and 72 km/h. Find the duration to pass each other.
A. 80 seconds
B. 72 seconds
C. 84 seconds
D. 90 seconds
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Correct Answer: Option A

Explanation:
Total distance = 220 + 180 = 400 meters. Relative speed in identical direction = 90 - 72 = 18 km/h = 5 m/s. Time taken = 400 / 5 = 80 seconds.
This question belongs to: Maths Time Speed and Distance
Question #623
A motorboat registers a speed of 14 km/h in still water. If the river current tracks at 2 km/h, find the duration required to complete a 48 km downstream course.
A. 3 hours
B. 4 hours
C. 2.5 hours
D. 3.5 hours
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Correct Answer: Option A

Explanation:
Downstream speed = 14 + 2 = 16 km/h. Time taken = Distance / Downstream speed = 48 / 16 = 3 hours.
This question belongs to: Maths Time Speed and Distance
Question #624
A modern speedboat records a speed of 18 km/h in still water. It spans a specific upstream reach in 5 hours. If the current velocity is 4 km/h, find the reach distance.
A. 80 km
B. 65 km
C. 70 km
D. 75 km
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Correct Answer: Option C

Explanation:
Upstream speed = 18 - 4 = 14 km/h. Distance covered = Upstream speed * Time = 14 * 5 = 70 km.
This question belongs to: Maths Time Speed and Distance
Question #625
A boat crew rows 30 km upstream and 50 km downstream, taking exactly 5 hours for each independent passage. Find the speed of the current stream.
A. 3 km/h
B. 2.5 km/h
C. 1.5 km/h
D. 2 km/h
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Correct Answer: Option D

Explanation:
Upstream speed = 30 / 5 = 6 km/h. Downstream speed = 50 / 5 = 10 km/h. Speed of current stream = (Downstream speed - Upstream speed) / 2 = (10 - 6) / 2 = 2 km/h.
This question belongs to: Maths Time Speed and Distance
Question #626
A shoplifter sprints from a mall sector at 6:00 PM at 12 km/h. The security detail discovers the lapse and pursues at 6:30 PM at 16 km/h. At what time will the detail intercept the shoplifter?
A. 8:00 PM
B. 8:30 PM
C. 7:30 PM
D. 9:00 PM
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Correct Answer: Option A

Explanation:
In 30 minutes (from 6:00 to 6:30 PM), the shoplifter covers 12 * 0.5 = 6 km. Relative speed of pursuit = 16 - 12 = 4 km/h. Time to catch = 6 / 4 = 1.5 hours. Interception time = 6:30 PM + 1.5 hours = 8:00 PM.
This question belongs to: Maths Time Speed and Distance
Question #627
A hound pursues a fox that is initially 150 meters ahead. The fox flies at 30 km/h and the hound targets at 36 km/h. Find the total distance the fox runs before capture.
A. 850 meters
B. 800 meters
C. 700 meters
D. 750 meters
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Correct Answer: Option D

Explanation:
Relative speed = 36 - 30 = 6 km/h = 5/3 m/s. Time required for capture = 150 / (5/3) = 90 seconds. Distance run by fox = Speed * Time = [30 * (5/18)] * 90 = (25/3) * 90 = 750 meters.
This question belongs to: Maths Time Speed and Distance
Question #628
In a 1000m dash, competitor M beats B by 80 meters, and B beats C by 50 meters. Assuming uniform velocities, by how many meters does M beat C in that same race?
A. 134 meters
B. 130 meters
C. 126 meters
D. 122 meters
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Correct Answer: Option C

Explanation:
When M runs 1000m, B runs 920m. When B runs 1000m, C runs 950m. When B runs 920m, C runs 950 * (920/1000) = 95 * 9.2 = 874m. Therefore, M beats C by 1000 - 874 = 126 meters.
This question belongs to: Maths Time Speed and Distance
Question #629
Excluding operational station stops, a city bus routes at an average of 42 km/h, and including stops its net average speed is 35 km/h. For how many minutes does it stop per hour?
A. 10 minutes
B. 14 minutes
C. 12 minutes
D. 8 minutes
Discuss
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Correct Answer: Option A

Explanation:
Stoppage time per hour = (42 - 35) / 42 = 7 / 42 = 1/6 hour = 10 minutes.
This question belongs to: Maths Time Speed and Distance
Question #630
A driver spans a highway path of 400 km. If the uniform speed is boosted by 10 km/h, the trip wraps up in 2 hours less. Find the initial speed.
A. 45 km/h
B. 35 km/h
C. 50 km/h
D. 40 km/h
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Correct Answer: Option D

Explanation:
Let original speed be s. 400/s - 400/(s+10) = 2 => 200/s - 200/(s+10) = 1 => 2000 = s(s+10). Solving s^2 + 10s - 2000 = 0 yields (s-40)(s+50) = 0. Speed = 40 km/h.
This question belongs to: Maths Time Speed and Distance
Question #631
A bicycle wheel has a radius of 28 cm. How many revolutions are mandatory to span a total course line of 880 meters?
A. 550
B. 600
C. 450
D. 500
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Correct Answer: Option D

Explanation:
Circumference = 2 * (22/7) * 28 = 176 cm = 1.76 meters. Total course line = 880 meters. Number of revolutions = 880 / 1.76 = 500.
This question belongs to: Maths Time Speed and Distance
Question #632
A delivery van driver walks at 5 km/h and arrives 12 minutes late at his drop station. If he tracks at 8 km/h, he reaches 3 minutes early. Find the sector distance.
A. 3.66 km
B. 4.00 km
C. 3.33 km
D. 3.0 km
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Correct Answer: Option C

Explanation:
Time difference = 12 - (-3) = 15 minutes = 1/4 hours. Let distance be d. d/5 - d/8 = 1/4 => 3d/40 = 1/4 => 3d = 10 => d = 3.33 km.
This question belongs to: Maths Time Speed and Distance
Question #633
A passenger train 140 meters long passes an active bridge platform 310 meters long in 20 seconds. What is the speed of the train in km/h?
A. 85 km/h
B. 81 km/h
C. 90 km/h
D. 75 km/h
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Correct Answer: Option B

Explanation:
Total distance = 140 + 310 = 450 meters. Speed = 450 / 20 = 22.5 m/s. In km/h = 22.5 * (18/5) = 4.5 * 18 = 81 km/h.
This question belongs to: Maths Time Speed and Distance
Question #634
The speed metrics of two moving trains are in the ratio 4 : 5. If they cover an identical route length, and the slower train tracks it in 2.5 hours, find the time parameter for the faster train.
A. 2.0 hours
B. 1.8 hours
C. 2.2 hours
D. 2.4 hours
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Correct Answer: Option A

Explanation:
Ratio of speeds = 4:5, so ratio of times taken = 5:4. Slower train takes 5 parts = 2.5 hours => 1 part = 0.5 hours. Time for faster train = 4 parts = 4 * 0.5 = 2.0 hours.
This question belongs to: Maths Time Speed and Distance
Question #635
A traveler accounts 30% of his route stretch at 15 km/h and the left over 70% at 35 km/h. Find his baseline average speed across the course.
A. 26.25 km/h
B. 28.00 km/h
C. 25.0 km/h
D. 24.5 km/h
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Correct Answer: Option C

Explanation:
Let total distance be 100 km. First segment = 30 km; Time = 30 / 15 = 2 hours. Second segment = 70 km; Time = 70 / 35 = 2 hours. Total distance = 100 km, Total time = 4 hours. Average speed = 100 / 4 = 25 km/h.
This question belongs to: Maths Time Speed and Distance
Question #636
A boat rowed upstream measures 12 km/h and downstream measures 20 km/h. Find the speed of the boat hull in still water.
A. 15 km/h
B. 17 km/h
C. 18 km/h
D. 16 km/h
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Correct Answer: Option D

Explanation:
Speed in still water = (Downstream speed + Upstream speed) / 2 = (20 + 12) / 2 = 16 km/h.
This question belongs to: Maths Time Speed and Distance
Question #637
A commuter train passes a standing track post in 6 seconds flat. If the length of the train is 150 meters, find its speed in km/h.
A. 110 km/h
B. 100 km/h
C. 90 km/h
D. 80 km/h
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Correct Answer: Option C

Explanation:
Speed = 150 / 6 = 25 m/s. In km/h = 25 * (18/5) = 90 km/h.
This question belongs to: Maths Time Speed and Distance
Question #638
A private van tracks at 40 km/h for 4 hours and then steps up to 60 km/h for the next 2 hours. Find the mean average speed.
A. 46.66 km/h
B. 45.33 km/h
C. 50.00 km/h
D. 48.00 km/h
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Correct Answer: Option A

Explanation:
Distance 1 = 40 * 4 = 160 km. Distance 2 = 60 * 2 = 120 km. Total distance = 280 km. Total time = 6 hours. Average speed = 280 / 6 = 46.66 km/h.
This question belongs to: Maths Time Speed and Distance
Question #639
A sonic pulse registers a speed of 340 m/s. How many seconds will it take to span a straight distance line of 8.5 km?
A. 28 seconds
B. 25 seconds
C. 22 seconds
D. 30 seconds
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Correct Answer: Option B

Explanation:
Distance = 8.5 km = 8500 meters. Time taken = 8500 / 340 = 25 seconds.
This question belongs to: Maths Time Speed and Distance
Question #640
A person row a boat 45 km downstream in 3 hours and manages the return journey upstream in 9 hours. Find the speed of the river current.
A. 4.5 km/h
B. 5.5 km/h
C. 6.0 km/h
D. 5.0 km/h
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Correct Answer: Option D

Explanation:
Downstream speed = 45 / 3 = 15 km/h. Upstream speed = 45 / 9 = 5 km/h. Speed of current = (15 - 5) / 2 = 10 / 2 = 5 km/h.
This question belongs to: Maths Time Speed and Distance

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