Time Speed and Distance MCQs with Answers and Solutions

Question #741

Two locomotive train units of equal layout lengths pass a single track sign pole in 10 seconds and 15 seconds. If each train length tracks at 120 meters, find the time parameter to pass each other completely when running in opposite directions.

A. 10 seconds

B. 16 seconds

C. 12 seconds

D. 14 seconds

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Speed of first train = 120 / 10 = 12 m/s. Speed of second train = 120 / 15 = 8 m/s. Total tracking distance = 120 + 120 = 240 meters. Relative speed in opposite directions = 12 + 8 = 20 m/s. Time required = 240 / 20 = 12 seconds.

This question belongs to: Maths Time Speed and Distance

Question #742

Share Report

A private van covers 1/3 of a route corridor path at 10 km/h, 1/3 at 20 km/h and the final 1/3 segment sector at 60 km/h. Find the mean average speed.

A. 22 km/h

B. 20 km/h

C. 18 km/h

D. 16 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Let each third segment distance be 60 km. Total distance = 180 km. Total time taken = 60/10 + 60/20 + 60/60 = 6 + 3 + 1 = 10 hours. Average speed across route = 180 / 10 = 18 km/h.

This question belongs to: Maths Time Speed and Distance

Question #743

Share Report

A person sets off from location M at 6:00 AM tracking at 30 km/h. Another starts from M at 8:00 AM at 50 km/h along the same direction pathway. At what distance from M do they meet?

A. 140 km

B. 150 km

C. 170 km

D. 160 km

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
By 8:00 AM, the first person tracks for 2 hours, covering 30 * 2 = 60 km. Relative tracking speed = 50 - 30 = 20 km/h. Time taken to meet = 60 / 20 = 3 hours. Distance covered from point M = Speed of second traveler * Meeting Time = 50 * 3 = 150 km.

This question belongs to: Maths Time Speed and Distance

Question #744

Share Report

A passenger train 100 meters long clears a line worker tracking on the ballast track in 5 seconds flat when both move along the identical direction. If the line worker walks at 8 km/h, find the train speed.

A. 88 km/h

B. 76 km/h

C. 80 km/h

D. 84 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Relative tracking speed = 100 / 5 = 20 m/s = 20 * (18/5) = 72 km/h. In identical directions, Relative Speed = Speed of train - Speed of worker => 72 = Speed of train - 8 => Speed of train = 80 km/h.

This question belongs to: Maths Time Speed and Distance

Question #745

Share Report

A motorboat tracks 48 km downstream in 3 hours and handles the same route upstream back to the origin line in 6 hours. Find the baseline speed of the boat hull in still water.

A. 10 km/h

B. 12 km/h

C. 15 km/h

D. 14 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Downstream speed = 48 / 3 = 16 km/h. Upstream speed = 48 / 6 = 8 km/h. Speed in still water = (16 + 8) / 2 = 12 km/h.

This question belongs to: Maths Time Speed and Distance

Question #746

Share Report

A boatman can row 12 km/h in still water. If the river velocity index tracks at 2 km/h, find the time parameter required by the boat hull to row 40 km upstream.

A. 4.0 hours

B. 4.5 hours

C. 5.0 hours

D. 3.5 hours

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Upstream speed = 12 - 2 = 10 km/h. Time required = Distance / Upstream Speed = 40 / 10 = 4 hours.

This question belongs to: Maths Time Speed and Distance

Question #747

Share Report

A transport van tracks from terminal X to Y at 40 km/h and handles the return trip route back to X at 60 km/h. What is the average speed recorded across the full round journey?

A. 48 km/h

B. 50 km/h

C. 52 km/h

D. 46 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

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

This question belongs to: Maths Time Speed and Distance

Question #748

Share Report

A high-speed train clears a stationary post column signal mast in 8 seconds and clears across the full station platform itself, which measures 240 meters long, in 20 seconds. Find the speed index of the train in km/h.

A. 72 km/h

B. 84 km/h

C. 64 km/h

D. 80 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Time taken to cross the platform span alone = 20 - 8 = 12 seconds. Speed of train = 240 / 12 = 20 m/s. In km/h index = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance

Question #749

Share Report

The speed index tracking profile of an express locomotive is exactly 20% higher than a commercial car. Both take off from terminal M together and reach terminal N, 120 km away, at the same instant. On the corridor route, the train logs a total stall of 10 minutes at intermediate stations. Find the car speed.

A. 140 km/h

B. 100 km/h

C. 120 km/h

D. 150 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Let car speed be c, then train tracking speed is 1.2c. Time difference parameter = 120/c - 120/(1.2c) = 10/60 hours = 1/6 hours. 120/c * (1 - 1/1.2) = 1/6 => 120/c * (0.2/1.2) = 1/6 => 120/c * (1/6) = 1/6 => c = 120 km/h.

This question belongs to: Maths Time Speed and Distance

Question #750

Share Report

A field surveyor walking at 4 km/h handles a regular sector. If he steps up to run at 8 km/h, he takes 30 minutes less across the course stretch. Find the absolute distance profile.

A. 4.5 km

B. 3.5 km

C. 4.0 km

D. 5.0 km

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Time difference = 30 minutes = 0.5 hours. Let distance be d. d / 4 - d / 8 = 0.5 => d / 8 = 0.5 => d = 4 km.

This question belongs to: Maths Time Speed and Distance

Question #751

Share Report

A passenger coach locomotive 120 meters long passes a clear roadside post marker in 6 seconds flat. Find the time needed to cross an extensions platform 240 meters long.

A. 22 seconds

B. 20 seconds

C. 18 seconds

D. 15 seconds

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

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

This question belongs to: Maths Time Speed and Distance

Question #752

Share Report

A boat crew row a boat 24 km downstream in 3 hours and tracks the identical loop back upstream in 6 hours. Find the baseline speed of the boat in still water.

A. 6 km/h

B. 7 km/h

C. 5 km/h

D. 8 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Downstream tracking speed = 24 / 3 = 8 km/h. Upstream tracking speed = 24 / 6 = 4 km/h. Speed in still water = (8 + 4) / 2 = 12 / 2 = 6 km/h.

This question belongs to: Maths Time Speed and Distance

Question #753

Share Report

A cargo container vehicle spans 450 meters in exactly 30 seconds. Find its baseline speed index in km/h.

A. 54 km/h

B. 60 km/h

C. 66 km/h

D. 48 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Speed = 450 / 30 = 15 m/s. In km/h index = 15 * (18/5) = 54 km/h.

This question belongs to: Maths Time Speed and Distance

Question #754

Share Report

Walking at 5/6 of his baseline typical speed, a courier agent reaches his office terminal 15 minutes late. Find his typical baseline time parameter.

A. 85 minutes

B. 75 minutes

C. 70 minutes

D. 80 minutes

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
New speed = 5/6 of usual speed => New time = 6/5 of usual time. Difference = 1/5 of usual time = 15 minutes. Typical baseline time parameter = 15 * 5 = 75 minutes.

This question belongs to: Maths Time Speed and Distance

Question #755

Share Report

Two locomotive train units 150 meters and 100 meters long are running along parallel track loops in identical directions at speeds of 56 km/h and 46 km/h respectively. In what timeframe will the faster train clear the slower train completely?

A. 100 seconds

B. 90 seconds

C. 110 seconds

D. 80 seconds

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Total path distance = 150 + 100 = 250 meters. Relative speed index in same direction = 56 - 46 = 10 km/h = 10 * (5/18) = 25/9 m/s. Time required = 250 / (25/9) = 250 * 9 / 25 = 90 seconds.

This question belongs to: Maths Time Speed and Distance

Question #756

Share Report

A luxury car handles a tracking route sector of 180 km. It finishes the first half segment stretch at 45 km/h and the second half sector at 60 km/h. Find the mean average speed recorded across the full route.

A. 51.42 km/h

B. 53.50 km/h

C. 55.00 km/h

D. 48.2 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Average Speed across sectors = 2xy / (x + y) = (2 * 45 * 60) / (45 + 60) = 5400 / 105 = 51.42 km/h.

This question belongs to: Maths Time Speed and Distance

Question #757

Share Report

A motorboat rows 30 km downstream in 3 hours and tracks the identical route upstream back to the jetty point in 6 hours. Find the net speed index of the current stream flow.

A. 3.5 km/h

B. 2.5 km/h

C. 2.0 km/h

D. 3.0 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Downstream speed = 30 / 3 = 10 km/h. Upstream speed = 30 / 6 = 5 km/h. Speed of current stream flow = (10 - 5) / 2 = 5 / 2 = 2.5 km/h.

This question belongs to: Maths Time Speed and Distance

Question #758

Share Report

A locomotive express train passes a milestone column track point in 15 seconds flat. If the speed index of the train records at 72 km/h, find the length of the train layout.

A. 320 meters

B. 350 meters

C. 300 meters

D. 280 meters

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Length of train layout = Speed * Time = 20 * 15 = 300 meters.

This question belongs to: Maths Time Speed and Distance

Question #759

Share Report

A private sedan tracks a sector path length of 360 km in 4 hours 30 minutes. Find its mean average speed index.

A. 75 km/h

B. 80 km/h

C. 85 km/h

D. 90 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Time = 4.5 hours. Speed index = Sector Distance / Time = 360 / 4.5 = 80 km/h.

This question belongs to: Maths Time Speed and Distance

Question #760

Share Report

A baseline boat hull can row 10 km/h in still water. If the river current tracks a velocity of 2 km/h, find the exact sector distance covered downstream by the boat hull in 30 minutes flat.

A. 5 km

B. 6 km

C. 8 km

D. 7 km

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Downstream speed = 10 + 2 = 12 km/h. Time = 30 minutes = 0.5 hour. Distance covered = Speed * Time = 12 * 0.5 = 6 km.

This question belongs to: Maths Time Speed and Distance

Time Speed and Distance MCQs

Practice Questions

More Maths Topics