Time Speed and Distance MCQs with Answers and Solutions

Question #461

A car covered a distance of 300 km at a uniform speed. If the baseline speed is lowered by 10 km/h, the trip duration spikes by 1 hour. Find the original speed.

A. 70 km/h

B. 60 km/h

C. 55 km/h

D. 65 km/h

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Correct Answer: Option B

Explanation:
Let original speed be s. 300 / (s - 10) - 300 / s = 1 => 300(10) = s(s - 10) => 3000 = s(s - 10). Solving s^2 - 10s - 3000 = 0 yields (s - 60)(s + 50) = 0. Since speed must be positive, s = 60 km/h.

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Question #462

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A cyclist handles 800 meters in exactly 2 minutes 40 seconds. Find his speed in km/h.

A. 22 km/h

B. 20 km/h

C. 18 km/h

D. 16 km/h

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Correct Answer: Option C

Explanation:
Time = 2 minutes 40 seconds = 160 seconds. Speed = 800 / 160 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.

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Question #463

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A train 140 meters long passes a roadside platform 260 meters long in 20 seconds. Find the speed of the train in km/h.

A. 68 km/h

B. 80 km/h

C. 76 km/h

D. 72 km/h

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Correct Answer: Option D

Explanation:
Total distance = 140 + 260 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

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Question #464

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Walking at 4/5 of his normal pace, an editor reaches his office 15 minutes late. What is his exact normal time to reach the office?

A. 60 minutes

B. 55 minutes

C. 65 minutes

D. 70 minutes

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Correct Answer: Option A

Explanation:
New speed = 4/5 of usual speed => New time = 5/4 of usual time. Difference = 1/4 of usual time = 15 minutes. Normal time = 15 * 4 = 60 minutes.

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Question #465

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Two cars A and B depart an intersection at the same time at right angles. A moves North at 36 km/h and B travels East at 48 km/h. Find the direct distance separating them after 30 minutes.

A. 27 km

B. 30 km

C. 36 km

D. 33 km

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Correct Answer: Option B

Explanation:
Time = 30 minutes = 0.5 hours. Distance covered by A = 36 * 0.5 = 18 km. Distance covered by B = 48 * 0.5 = 24 km. Direct distance = sqrt(18^2 + 24^2) = sqrt(324 + 576) = sqrt(900) = 30 km.

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Question #466

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A cargo train running at 64 km/h overtakes a cyclist riding at 10 km/h in the same direction in 10 seconds. Find the length of the train.

A. 180 meters

B. 160 meters

C. 140 meters

D. 150 meters

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Correct Answer: Option D

Explanation:
Relative speed = 64 - 10 = 54 km/h = 54 * (5/18) = 15 m/s. Length of train = Relative speed * Time = 15 * 10 = 150 meters.

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Question #467

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The speed of a boat in still water is 15 km/h and the speed of the current is 3 km/h. How much distance can the boat cover upstream in exactly 3 hours?

A. 40 km

B. 36 km

C. 32 km

D. 44 km

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Correct Answer: Option B

Explanation:
Upstream speed = 15 - 3 = 12 km/h. Distance covered in 3 hours = Upstream Speed * Time = 12 * 3 = 36 km.

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Question #468

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A runner tracks a circular field of circumference 600 meters. If his speed is 14.4 km/h, how many rounds can he complete in 15 minutes?

A. 6 rounds

B. 8 rounds

C. 5 rounds

D. 7 rounds

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Correct Answer: Option A

Explanation:
Speed = 14.4 km/h = 14.4 * (5/18) = 4 m/s. Time = 15 minutes = 900 seconds. Total distance wrapped = 4 * 900 = 3600 meters. Number of rounds completed = 3600 / 600 = 6 rounds.

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Question #469

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A person walks from his house to office at 5 km/h and arrives 12 minutes late. If he walks at 6 km/h, he arrives 2 minutes late. Find the distance.

A. 5.5 km

B. 4.5 km

C. 5.0 km

D. 6.0 km

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Correct Answer: Option C

Explanation:
Time difference = 12 - 2 = 10 minutes = 10/60 = 1/6 hours. Let distance be d. d / 5 - d / 6 = 1/6 => d / 30 = 1/6 => d = 5 km.

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Question #470

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A train passes a static observer in 6 seconds and a platform 160 meters long in 14 seconds. Find the length of the train.

A. 150 meters

B. 140 meters

C. 100 meters

D. 120 meters

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Correct Answer: Option D

Explanation:
Time to cross the platform distance alone = 14 - 6 = 8 seconds. Speed of train = 160 / 8 = 20 m/s. Length of train = Speed * Time to pass observer = 20 * 6 = 120 meters.

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Question #471

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A man rows 10 km/h in still water. If the river current tracks at 2 km/h, it takes him 2.5 hours to row to a point and back. How far is the point?

A. 10 km

B. 12 km

C. 14 km

D. 15 km

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Correct Answer: Option B

Explanation:
Downstream speed = 10 + 2 = 12 km/h. Upstream speed = 10 - 2 = 8 km/h. Let distance be d. d / 12 + d / 8 = 2.5 => 5d / 24 = 2.5 => 5d = 60 => d = 12 km.

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Question #472

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The speeds of two cars are in the ratio 5 : 3. If they cover the same total distance, and the slower car takes 2.5 hours, how much time does the faster car take?

A. 1.8 hours

B. 1.2 hours

C. 1.5 hours

D. 2.0 hours

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Correct Answer: Option C

Explanation:
Ratio of speeds = 5:3, so ratio of times taken = 3:5. The slower car corresponds to 5 parts = 2.5 hours => 1 part = 0.5 hours. Time for the faster car = 3 parts = 3 * 0.5 = 1.5 hours.

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Question #473

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A person covers a distance of 120 km at 30 km/h and another 180 km at 45 km/h. Find his average speed for the whole journey.

A. 37.5 km/h

B. 36 km/h

C. 42 km/h

D. 40 km/h

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Correct Answer: Option A

Explanation:
Total distance = 120 + 180 = 300 km. Total time taken = 120/30 + 180/45 = 4 + 4 = 8 hours. Average speed = 300 / 8 = 37.5 km/h.

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Question #474

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Excluding stoppages, a transit truck travels at 75 km/h and including stoppages it travels at 62.5 km/h. How many minutes does the truck stop per hour?

A. 10 minutes

B. 15 minutes

C. 12 minutes

D. 8 minutes

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Correct Answer: Option A

Explanation:
Stoppage time per hour = (75 - 62.5) / 75 = 12.5 / 75 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

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Question #475

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A train 180 meters long passes a pole in 9 seconds. What is the speed of the train in km/h?

A. 84 km/h

B. 64 km/h

C. 72 km/h

D. 80 km/h

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Correct Answer: Option C

Explanation:
Speed of train = 180 / 9 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

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Question #476

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A thief is spotted by a policeman from a distance of 250 meters. The thief runs at 11 km/h and the policeman chases him at 13 km/h. Find the distance covered by the thief before he is caught.

A. 1625 meters

B. 1500 meters

C. 1250 meters

D. 1375 meters

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Correct Answer: Option D

Explanation:
Relative speed = 13 - 11 = 2 km/h. Time to catch the thief = 0.25 km / 2 km/h = 0.125 hours. Distance covered by thief = Speed * Time = 11 km/h * 0.125 hours = 1.375 km = 1375 meters.

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Question #477

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A sound wave travels at 340 m/s. How much distance in kilometers does it cover in exactly 15 seconds?

A. 5.1 km

B. 5.7 km

C. 4.8 km

D. 5.4 km

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Correct Answer: Option A

Explanation:
Distance = Speed * Time = 340 * 15 = 5100 meters. Converting to kilometers = 5100 / 1000 = 5.1 km.

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Question #478

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A train running at 72 km/h crosses a bridge 250 meters long in 20 seconds. Find the length of the train.

A. 200 meters

B. 180 meters

C. 150 meters

D. 120 meters

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Correct Answer: Option C

Explanation:
Speed = 72 * (5/18) = 20 m/s. Total distance in 20 seconds = 20 * 20 = 400 meters. Length of train = 400 - 250 = 150 meters.

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Question #479

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A man can row 8 km/h in still water. He takes 4 hours to row to a point and back when the current flows at 4 km/h. How far is the point?

A. 14 km

B. 10 km

C. 16 km

D. 12 km

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Correct Answer: Option D

Explanation:
Downstream speed = 8 + 4 = 12 km/h. Upstream speed = 8 - 4 = 4 km/h. Let distance be d. d / 12 + d / 4 = 4 => 4d / 12 = 4 => d = 12 km.

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Question #480

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If a person covers a distance of 150 km in 4 hours, find his speed in meters per second.

A. 9.81 m/s

B. 12.50 m/s

C. 11.24 m/s

D. 10.41 m/s

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Correct Answer: Option D

Explanation:
Speed = 150 / 4 = 37.5 km/h. Converting to m/s = 37.5 * (5/18) = 187.5 / 18 = 10.41 m/s.

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