Time Speed and Distance MCQs with Answers and Solutions

Question #241

Excluding stoppages, a bus travels at 54 km/h and including stoppages it travels at 45 km/h. How many minutes does the bus stop per hour?

A. 8 minutes

B. 15 minutes

C. 12 minutes

D. 10 minutes

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Correct Answer: Option D

Explanation:
Stoppage time per hour = (54 - 45) / 54 = 9 / 54 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

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Question #242

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A train 150 meters long passes a pole in 7.5 seconds. What is the speed of the train in km/h?

A. 64 km/h

B. 84 km/h

C. 72 km/h

D. 80 km/h

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Correct Answer: Option C

Explanation:
Speed of train = 150 / 7.5 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

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Question #243

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A thief is spotted by a policeman from a distance of 150 meters. The thief runs at 11 km/h and the policeman chases him at 12 km/h. Find the distance covered by the thief before he is caught.

A. 1500 meters

B. 1650 meters

C. 1950 meters

D. 1800 meters

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Correct Answer: Option B

Explanation:
Relative speed = 12 - 11 = 1 km/h. Time to catch the thief = 0.15 km / 1 km/h = 0.15 hours. Distance covered by thief = Speed * Time = 11 km/h * 0.15 hours = 1.65 km = 1650 meters.

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Question #244

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A sound wave travels at 343 m/s. How much distance in kilometers does it cover in 10 seconds?

A. 3.50 km

B. 3.43 km

C. 3.65 km

D. 3.24 km

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Correct Answer: Option B

Explanation:
Distance = Speed * Time = 343 * 10 = 3430 meters. Converting to kilometers = 3430 / 1000 = 3.43 km.

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Question #245

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A train running at 60 km/h crosses a bridge 200 meters long in 24 seconds. Find the length of the train.

A. 180 meters

B. 220 meters

C. 240 meters

D. 200 meters

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Correct Answer: Option D

Explanation:
Speed = 60 * (5/18) = 50/3 m/s. Total distance in 24 seconds = (50/3) * 24 = 400 meters. Length of train = 400 - 200 = 200 meters.

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Question #246

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A man can row 5 km/h in still water. He takes 2.5 hours to row to a point and back when the current flows at 1 km/h. How far is the point?

A. 6.5 km

B. 6.0 km

C. 5.5 km

D. 7.0 km

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Correct Answer: Option B

Explanation:
Downstream speed = 5 + 1 = 6 km/h. Upstream speed = 5 - 1 = 4 km/h. Let distance be d. d / 6 + d / 4 = 2.5 => 5d / 12 = 2.5 => 5d = 30 => d = 6 km.

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Question #247

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If a person covers a distance of 180 km in 4 hours, find his speed in meters per second.

A. 14.5 m/s

B. 13.5 m/s

C. 12.5 m/s

D. 11.5 m/s

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Correct Answer: Option C

Explanation:
Speed = 180 / 4 = 45 km/h. Converting to m/s = 45 * (5/18) = 12.5 m/s.

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Question #248

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A car traveling at a uniform speed covers 300 km. If the speed had been 10 km/h more, it would have taken 1 hour less. Find the initial speed.

A. 50 km/h

B. 60 km/h

C. 55 km/h

D. 45 km/h

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Correct Answer: Option A

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

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Question #249

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A train 120 meters long completely passes a static pole in 6 seconds. Find its speed in km/h.

A. 80 km/h

B. 84 km/h

C. 64 km/h

D. 72 km/h

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Correct Answer: Option D

Explanation:
Speed = 120 / 6 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance

Question #250

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Walking at 3/4 of his normal speed, a person is 10 minutes late to his destination. What is his normal time?

A. 30 minutes

B. 40 minutes

C. 25 minutes

D. 35 minutes

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Correct Answer: Option A

Explanation:
New speed = 3/4 of normal speed => New time = 4/3 of normal time. Difference = 1/3 of normal time = 10 minutes. Normal time = 10 * 3 = 30 minutes.

This question belongs to: Maths Time Speed and Distance

Question #251

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A boat covers 20 km downstream in 2 hours and the same distance upstream in 5 hours. Find the speed of the stream.

A. 3.5 km/h

B. 3.0 km/h

C. 2.5 km/h

D. 4.0 km/h

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Correct Answer: Option B

Explanation:
Downstream speed = 20 / 2 = 10 km/h. Upstream speed = 20 / 5 = 4 km/h. Speed of stream = (10 - 4) / 2 = 6 / 2 = 3 km/h.

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Question #252

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A car covers a certain distance at an average speed of 40 km/h in 6 hours. At what speed must it travel to cover the same distance in 4 hours?

A. 70 km/h

B. 65 km/h

C. 60 km/h

D. 55 km/h

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Correct Answer: Option C

Explanation:
Distance = 40 * 6 = 240 km. New required speed = 240 / 4 = 60 km/h.

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Question #253

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Two trains 100 meters and 150 meters long are running in opposite directions at speeds of 40 km/h and 50 km/h respectively. In what time will they cross each other?

A. 10 seconds

B. 11 seconds

C. 9 seconds

D. 12 seconds

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Correct Answer: Option A

Explanation:
Total distance = 100 + 150 = 250 meters. Relative speed in opposite directions = 40 + 50 = 90 km/h = 25 m/s. Time taken = 250 / 25 = 10 seconds.

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Question #254

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A man covers 1/3 of his total journey at 30 km/h and the remaining 2/3 at 60 km/h. Find his average speed for the entire journey.

A. 50 km/h

B. 52 km/h

C. 45 km/h

D. 48 km/h

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Correct Answer: Option D

Explanation:
Let total distance be 90 km. First part = 30 km; Time = 30 / 30 = 1 hour. Remaining part = 60 km; Time = 60 / 60 = 1 hour. Total distance = 90 km, Total time = 2 hours. Average speed = 90 / 2 = 45 km/h.

This question belongs to: Maths Time Speed and Distance

Question #255

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A person walks from his home to his office at 4.5 km/h and reaches 12 minutes late. If he walks at 6 km/h, he reaches 3 minutes early. Find the distance.

A. 4.0 km

B. 5.5 km

C. 5.0 km

D. 4.5 km

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Correct Answer: Option D

Explanation:
Time difference = 12 - (-3) = 15 minutes = 15/60 = 0.25 hours. Let distance be d. d / 4.5 - d / 6 = 0.25 => (4d - 3d) / 18 = 0.25 => d / 18 = 0.25 => d = 4.5 km.

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Question #256

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A boat can row 14 km/h in still water and the speed of the current is 2 km/h. Find the time taken to row 48 km downstream.

A. 3.5 hours

B. 4.0 hours

C. 2.5 hours

D. 3.0 hours

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Correct Answer: Option D

Explanation:
Downstream speed = 14 + 2 = 16 km/h. Time taken = 48 / 16 = 3 hours.

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Question #257

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A train 180 meters long passes a static utility pole in 9 seconds. Find the time it takes to completely pass a platform of length 300 meters.

A. 24 seconds

B. 20 seconds

C. 25 seconds

D. 26 seconds

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Correct Answer: Option A

Explanation:
Speed of train = 180 / 9 = 20 m/s. Total distance to pass platform = 180 + 300 = 480 meters. Time taken = 480 / 20 = 24 seconds.

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Question #258

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In a 200-meter race, A finishes in 22 seconds and B finishes in 25 seconds. By what distance does A beat B?

A. 26 meters

B. 25 meters

C. 24 meters

D. 22 meters

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Correct Answer: Option C

Explanation:
Speed of B = 200 / 25 = 8 m/s. Distance covered by B when A crosses the finish line at 22 seconds = 8 * 22 = 176 meters. Winning margin = 200 - 176 = 24 meters.

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Question #259

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A car travels a distance of 240 km at a certain speed. If the speed is increased by 10 km/h, it takes 4 hours for the journey. Find the original speed.

A. 55 km/h

B. 60 km/h

C. 45 km/h

D. 50 km/h

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Correct Answer: Option D

Explanation:
New speed = 240 / 4 = 60 km/h. Since new speed is original speed + 10 km/h, the original speed = 60 - 10 = 50 km/h.

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Question #260

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Excluding stoppages, the speed of a regional transit bus is 48 km/h and including stoppages it is 40 km/h. For how many minutes does the bus stop per hour?

A. 10 minutes

B. 12 minutes

C. 8 minutes

D. 15 minutes

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Correct Answer: Option A

Explanation:
Stoppage time per hour = (48 - 40) / 48 = 8 / 48 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance

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