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 #701
A motorboat maps 32 km downstream in 2 hours and tracks the same upriver stretch upstream in 4 hours. Find the baseline speed of the boat hull in still water.
A. 15 km/h
B. 12 km/h
C. 10 km/h
D. 14 km/h

Correct Answer: Option B


Explanation:
Downstream speed = 32 / 2 = 16 km/h. Upstream speed = 32 / 4 = 8 km/h. Speed in still water = (16 + 8) / 2 = 12 km/h.

This question belongs to: Maths Time Speed and Distance
Question #702
A boatman can row 16 km/h in still water. If the river velocity index tracks at 4 km/h, find the time interval required by the boat hull to row 48 km upstream.
A. 3.5 hours
B. 4.5 hours
C. 4.0 hours
D. 5.0 hours

Correct Answer: Option C


Explanation:
Upstream tracking speed = 16 - 4 = 12 km/h. Time required = Sector Distance / Upstream Speed = 48 / 12 = 4 hours.

This question belongs to: Maths Time Speed and Distance
Question #703
A sedan tracks from location M to N at 50 km/h and manages the return tract to M at 70 km/h. What is the average speed recorded across the round journey?
A. 61.25 km/h
B. 56.50 km/h
C. 60.00 km/h
D. 58.33 km/h

Correct Answer: Option D


Explanation:
Average Speed across course = 2xy / (x + y) = (2 * 50 * 70) / (50 + 70) = 7000 / 120 = 58.33 km/h.

This question belongs to: Maths Time Speed and Distance
Question #704
A high-speed train clears a structural platform watchpost signal pillar in 6 seconds and passes across the full platform itself, which measures 200 meters long, in 16 seconds. Find the speed index of the train in km/h.
A. 80 km/h
B. 64 km/h
C. 72 km/h
D. 84 km/h

Correct Answer: Option C


Explanation:
Time taken to cross the platform span alone = 16 - 6 = 10 seconds. Speed of train = 200 / 10 = 20 m/s. In km/h index = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance
Question #705
The speed tracking profile of an express train is exactly 25% higher than a commercial car. Both take off from terminal A together and reach terminal B, 200 km away, at the same instant. On the corridor route, the train logs a total stall of 20 minutes at checkpoints. Find the car speed.
A. 140 km/h
B. 120 km/h
C. 150 km/h
D. 100 km/h

Correct Answer: Option B


Explanation:
Let car speed be c, then train tracking speed is 1.25c. Time difference parameter = 200/c - 200/(1.25c) = 20/60 hours = 1/3 hours. 200/c * (1 - 1/1.25) = 1/3 => 200/c * (0.25/1.25) = 1/3 => 200/c * (1/5) = 1/3 => 40/c = 1/3 => c = 120 km/h.

This question belongs to: Maths Time Speed and Distance
Question #706
A field clerk walking at 5 km/h handles a regular sector. If he steps up to run at 10 km/h, he takes 24 minutes less across the course stretch. Find the absolute distance profile.
A. 5.0 km
B. 3.5 km
C. 4.5 km
D. 4.0 km

Correct Answer: Option D


Explanation:
Time difference = 24 minutes = 24/60 = 2/5 hours. Let distance be d. d / 5 - d / 10 = 2/5 => d / 10 = 2/5 => d = 4 km.

This question belongs to: Maths Time Speed and Distance
Question #707
A passenger coach locomotive 200 meters long passes a clear roadside post marker in 10 seconds flat. Find the time needed to cross an extensions platform 440 meters long.
A. 32 seconds
B. 36 seconds
C. 28 seconds
D. 40 seconds

Correct Answer: Option A


Explanation:
Speed of coach locomotive = 200 / 10 = 20 m/s. Total distance to clear platform stretch = 200 + 440 = 640 meters. Time required = 640 / 20 = 32 seconds.

This question belongs to: Maths Time Speed and Distance
Question #708
A boat crew row a boat 36 km downstream in 4 hours and tracks the identical loop back upstream in 6 hours. Find the baseline speed of the boat in still water.
A. 7.5 km/h
B. 7.0 km/h
C. 8.0 km/h
D. 8.5 km/h

Correct Answer: Option A


Explanation:
Downstream tracking speed = 36 / 4 = 9 km/h. Upstream tracking speed = 36 / 6 = 6 km/h. Speed in still water = (9 + 6) / 2 = 15 / 2 = 7.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #709
A cargo container vehicle spans 600 meters in exactly 40 seconds. Find its baseline speed index in km/h.
A. 54 km/h
B. 48 km/h
C. 66 km/h
D. 60 km/h

Correct Answer: Option A


Explanation:
Speed = 600 / 40 = 15 m/s. In km/h index = 15 * (18/5) = 54 km/h.

This question belongs to: Maths Time Speed and Distance
Question #710
Walking at 7/9 of his baseline typical speed, a courier agent reaches his office terminal 12 minutes late. Find his typical baseline time parameter.
A. 50 minutes
B. 38 minutes
C. 46 minutes
D. 42 minutes

Correct Answer: Option D


Explanation:
New speed = 7/9 of usual speed => New time = 9/7 of usual time. Difference = 2/7 of usual time = 12 minutes. 1/7 of usual time = 6 minutes => Usual time = 42 minutes.

This question belongs to: Maths Time Speed and Distance
Question #711
Two locomotive train units 140 meters and 110 meters long are running along parallel track loops in identical directions at speeds of 52 km/h and 42 km/h respectively. In what timeframe will the faster train clear the slower train completely?
A. 80 seconds
B. 100 seconds
C. 90 seconds
D. 110 seconds

Correct Answer: Option C


Explanation:
Total path distance = 140 + 110 = 250 meters. Relative speed index in same direction = 52 - 42 = 10 km/h = 10 * (5/18) = 25/9 m/s. Time required = 250 / (25/9) = 250 * 9 / 25 = 10 * 9 = 90 seconds.

This question belongs to: Maths Time Speed and Distance
Question #712
A luxury car handles a tracking route sector of 240 km. It finishes the first half segment stretch at 40 km/h and the second half sector at 60 km/h. Find the mean average speed recorded across the full route.
A. 46 km/h
B. 48 km/h
C. 50 km/h
D. 52 km/h

Correct Answer: Option B


Explanation:
Average Speed across sectors = 2xy / (x + y) = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.

This question belongs to: Maths Time Speed and Distance
Question #713
A motorboat rows 24 km downstream in 3 hours and tracks the identical route upstream back to the jetty point in 4 hours. Find the net speed index of the current stream flow.
A. 1.2 km/h
B. 0.8 km/h
C. 1.5 km/h
D. 1.0 km/h

Correct Answer: Option D


Explanation:
Downstream speed = 24 / 3 = 8 km/h. Upstream speed = 24 / 4 = 6 km/h. Speed of current stream flow = (8 - 6) / 2 = 2 / 2 = 1.0 km/h.

This question belongs to: Maths Time Speed and Distance
Question #714
A locomotive express train passes a milestone column track point in 10 seconds flat. If the speed index of the train records at 54 km/h, find the length of the train layout.
A. 180 meters
B. 150 meters
C. 135 meters
D. 165 meters

Correct Answer: Option B


Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Length of train layout = Speed * Time = 15 * 10 = 150 meters.

This question belongs to: Maths Time Speed and Distance
Question #715
A private sedan tracks a sector path length of 480 km in 5 hours 20 minutes. Find its mean average speed index.
A. 90 km/h
B. 95 km/h
C. 85 km/h
D. 100 km/h

Correct Answer: Option A


Explanation:
Time = 5 hours 20 minutes = 5 + 20/60 = 5.333 hours = 16/3 hours. Speed index = Sector Distance / Time = 480 / (16/3) = 480 * 3 / 16 = 30 * 3 = 90 km/h.

This question belongs to: Maths Time Speed and Distance
Question #716
A baseline boat hull can row 12 km/h in still water. If the river current tracks a velocity of 4 km/h, find the exact sector distance covered downstream by the boat hull in 45 minutes flat.
A. 12 km
B. 10 km
C. 16 km
D. 14 km

Correct Answer: Option A


Explanation:
Downstream speed = 12 + 4 = 16 km/h. Time = 45 minutes = 45/60 = 0.75 hours = 3/4 hour. Distance covered = Speed * Time = 16 * (3/4) = 12 km.

This question belongs to: Maths Time Speed and Distance
Question #717
A worker handles a total factory delivery run of 160 km. He maps the first 60 km section at 30 km/h and the final 100 km segment section at 50 km/h. Find the mean average speed recorded across the full delivery run.
A. 45 km/h
B. 42 km/h
C. 38 km/h
D. 40 km/h

Correct Answer: Option D


Explanation:
Total distance = 160 km. Time for section 1 = 60 / 30 = 2 hours. Time for section 2 = 100 / 50 = 2 hours. Total duration time = 4 hours. Average speed across run = 160 / 4 = 40 km/h.

This question belongs to: Maths Time Speed and Distance
Question #718
Two junction points M and N are separated by 300 km. Train P leaves M for N at 45 km/h at 8:00 AM. Train Q leaves N for M at 55 km/h at 9:00 AM. At what time will they cross?
A. 11:33 AM
B. 11:45 AM
C. 11:15 AM
D. 12:00 PM

Correct Answer: Option A


Explanation:
By 9:00 AM, Train P has tracked for 1 hour, covering 45 km. Remaining route segment gap separation = 300 - 45 = 255 km. Relative speed index = 45 + 55 = 100 km/h. Time after 9:00 AM = 255 / 100 = 2.55 hours = 2 hours 33 minutes. Meeting time is 11:33 AM.

This question belongs to: Maths Time Speed and Distance
Question #719
A train 120 meters long passes an entry post light in 6 seconds. How many seconds will it require to cross a terminal platform bridge 240 meters long?
A. 15 seconds
B. 20 seconds
C. 18 seconds
D. 22 seconds

Correct Answer: Option C


Explanation:
Speed of train = 120 / 6 = 20 m/s. Total distance to clear platform bridge layout = 120 + 240 = 360 meters. Time required = 360 / 20 = 18 seconds.

This question belongs to: Maths Time Speed and Distance
Question #720
In a 500-meter dash trial heat, runner A clocks across the tape in 50 seconds, while runner B marks a finish layout in 55 seconds. By what distance does runner A beat runner B?
A. 42.34 meters
B. 48.25 meters
C. 45.45 meters
D. 50.00 meters

Correct Answer: Option C


Explanation:
Speed of runner B = 500 / 55 = 100 / 11 m/s. Distance covered by runner B when runner A finishes at 50 seconds = (100 / 11) * 50 = 5000 / 11 = 454.54 meters. Margin distance = 500 - 454.54 = 45.45 meters.

This question belongs to: Maths Time Speed and Distance