Time Speed and Distance MCQs with Answers and Solutions

Question #121

A car runs at 60 km/h for 2 hours and then at 40 km/h for another 3 hours. Find the average speed of the car for the entire journey.

A. 52 km/h

B. 46 km/h

C. 50 km/h

D. 48 km/h

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Correct Answer: Option D

Explanation:
Distance 1 = 60 * 2 = 120 km. Distance 2 = 40 * 3 = 120 km. Total distance = 240 km. Total time = 2 + 3 = 5 hours. Average speed = 240 / 5 = 48 km/h.

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Question #122

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A man covers a distance of 12 km in 2 hours by walking. How much distance will he cover in 5 hours if he maintains the same speed?

A. 35 km

B. 30 km

C. 40 km

D. 25 km

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Correct Answer: Option B

Explanation:
Speed = 12 / 2 = 6 km/h. Distance in 5 hours = 6 * 5 = 30 km.

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Question #123

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A train 180 meters long is running at a speed of 90 km/h. How long will it take to pass a post?

A. 7.2 seconds

B. 9 seconds

C. 8 seconds

D. 6 seconds

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Correct Answer: Option A

Explanation:
Speed = 90 * (5/18) = 25 m/s. Time to pass a post = 180 / 25 = 7.2 seconds.

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Question #124

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The speeds of three cars are in the ratio 2 : 3 : 4. What is the ratio of time taken by these cars to travel the same distance?

A. 12 : 8 : 6

B. 2 : 3 : 4

C. 6 : 4 : 3

D. 4 : 3 : 2

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Correct Answer: Option C

Explanation:
Ratio of times is the inverse of the ratio of speeds: 1/2 : 1/3 : 1/4. Multiplying by the LCM (12), we get 6 : 4 : 3.

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Question #125

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A person can row 6 km/h in still water. If the speed of the stream is 2 km/h, how much time will he take to row a distance of 16 km downstream?

A. 2 hours

B. 5 hours

C. 4 hours

D. 3 hours

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Correct Answer: Option A

Explanation:
Downstream speed = 6 + 2 = 8 km/h. Time = Distance / Speed = 16 / 8 = 2 hours.

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Question #126

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A train 130 meters long passes a platform 270 meters long in 20 seconds. What is the speed of the train in km/h?

A. 90 km/h

B. 72 km/h

C. 80 km/h

D. 60 km/h

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Correct Answer: Option B

Explanation:
Total distance = 130 + 270 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

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Question #127

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A man covers half of his journey at 40 km/h and the remaining half at 60 km/h. What is his average speed?

A. 52 km/h

B. 50 km/h

C. 54 km/h

D. 48 km/h

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Correct Answer: Option D

Explanation:
Average Speed = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.

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Question #128

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A man walking at 5 km/h notices a train 100 meters long passing him from behind in 6 seconds. What is the speed of the train?

A. 65 km/h

B. 60 km/h

C. 75 km/h

D. 70 km/h

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Correct Answer: Option A

Explanation:
Relative speed = 100 / 6 = 50/3 m/s = (50/3) * (18/5) = 60 km/h. Since the train passes him from behind (same direction), Relative Speed = Speed of train - Speed of man => 60 = Speed of train - 5 => Speed of train = 65 km/h.

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Question #129

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A train passes an electric pole in 12 seconds and a bridge of length 240 meters in 24 seconds. Find the length of the train.

A. 200 meters

B. 240 meters

C. 300 meters

D. 180 meters

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Correct Answer: Option B

Explanation:
The train takes 12 seconds to cross its own length and 24 seconds to cross its own length plus the bridge. Therefore, it takes 24 - 12 = 12 seconds to cross the 240-meter bridge. Speed = 240 / 12 = 20 m/s. Length of train = Speed * Time to cross pole = 20 * 12 = 240 meters.

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Question #130

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A person covers a certain distance by bicycle at a speed of 15 km/h and returns on foot at a speed of 5 km/h. If the entire trip took 4 hours, find the total distance of the one-way journey.

A. 12 km

B. 15 km

C. 18 km

D. 20 km

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Correct Answer: Option B

Explanation:
Let the one-way distance be d. Time taken for forward journey = d / 15, and return journey = d / 5. Given: d/15 + d/5 = 4. Multiplying by 15: d + 3d = 60 => 4d = 60 => d = 15 km.

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Question #131

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The speed of a boat downstream is 18 km/h and upstream is 12 km/h. How much distance can the boat cover in still water in 3 hours?

A. 48 km

B. 42 km

C. 45 km

D. 54 km

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Correct Answer: Option C

Explanation:
Speed of the boat in still water = (Downstream Speed + Upstream Speed) / 2 = (18 + 12) / 2 = 15 km/h. Distance covered in 3 hours = 15 * 3 = 45 km.

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Question #132

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A man covers 2/3 of a journey at 40 km/h, 1/4 of the journey at 30 km/h and the remainder at 10 km/h. What is his average speed for the entire journey?

A. 25 km/h

B. 30 km/h

C. 32 km/h

D. 36 km/h

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Correct Answer: Option C

Explanation:
Let the total distance be 120 km. First part = (2/3) * 120 = 80 km; Time = 80 / 40 = 2 hours. Second part = (1/4) * 120 = 30 km; Time = 30 / 30 = 1 hour. Remainder = 120 - 80 - 30 = 10 km; Time = 10 / 10 = 1 hour. Total time = 2 + 1 + 1 = 4 hours. Average speed = 120 / 4 = 32 km/h.

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Question #133

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Two points M and N are separated by 300 km. At 8:00 AM, a car leaves M for N at 60 km/h. At 9:00 AM, another car leaves N for M at 90 km/h. At what time will they pass each other?

A. 10:36 AM

B. 10:48 AM

C. 10:40 AM

D. 10:24 AM

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Correct Answer: Option A

Explanation:
By 9:00 AM, the first car covers 60 km * 1 hour = 60 km. The remaining distance between them is 300 - 60 = 240 km. Relative speed = 60 + 90 = 150 km/h. Time to meet after 9:00 AM = 240 / 150 = 8/5 hours = 1 hour 36 minutes. Meeting time = 9:00 AM + 1 hour 36 minutes = 10:36 AM.

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Question #134

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A car driver leaves Bangalore at 8:30 AM and expects to reach a place 300 km away at 12:30 PM. At 10:30 AM he finds that he has covered only 40% of the distance. By how much must he increase the speed of the car to reach on scheduled time?

A. 35 km/h

B. 25 km/h

C. 30 km/h

D. 20 km/h

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Correct Answer: Option C

Explanation:
Total time available = 4 hours. At 10:30 AM (after 2 hours), distance covered = 40% of 300 = 120 km. Remaining distance = 180 km. Remaining time = 12:30 PM - 10:30 AM = 2 hours. Required speed = 180 / 2 = 90 km/h. Original speed = 120 / 2 = 60 km/h. Increase in speed = 90 - 60 = 30 km/h.

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Question #135

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A person reaches his destination 40 minutes late if his speed is 3 km/h, and reaches 30 minutes early if his speed is 4 km/h. Find the distance to his destination.

A. 12 km

B. 16 km

C. 15 km

D. 14 km

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Correct Answer: Option D

Explanation:
Time difference = 40 - (-30) = 70 minutes = 70 / 60 = 7/6 hours. Let distance be d. d/3 - d/4 = 7/6 => d/12 = 7/6 => d = 14 km.

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Question #136

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A train 120 meters long crosses a platform 180 meters long in 15 seconds. Find the speed of the train in km/h.

A. 64 km/h

B. 80 km/h

C. 75 km/h

D. 72 km/h

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Correct Answer: Option D

Explanation:
Total distance = 120 + 180 = 300 meters. Speed = 300 / 15 = 20 m/s. Conversion to km/h = 20 * (18/5) = 72 km/h.

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Question #137

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A thief is spotted by a policeman from a distance of 250 meters. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief to be 10 km/h and that of the policeman to be 12 km/h, how far will the thief have run before he is overtaken?

A. 1750 meters

B. 1500 meters

C. 1250 meters

D. 1000 meters

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Correct Answer: Option C

Explanation:
Relative speed = 12 - 10 = 2 km/h. Time taken to catch the thief = 0.25 km / 2 km/h = 1/8 hour. Distance run by the thief = Speed * Time = 10 km/h * (1/8) hour = 1.25 km = 1250 meters.

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Question #138

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A wheel makes 2000 revolutions in covering a distance of 44 km. Find the radius of the wheel.

A. 4.2 meters

B. 5.0 meters

C. 7.0 meters

D. 3.5 meters

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Correct Answer: Option D

Explanation:
Distance covered in 1 revolution = Total Distance / Number of Revolutions = 44000 meters / 2000 = 22 meters. Circumference = 2 * (22/7) * r = 22 => 44r / 7 = 22 => r = 154 / 44 = 3.5 meters.

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Question #139

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An airplane covers a certain distance at a speed of 240 km/h in 5 hours. To cover the same distance in 1 hour 40 minutes, it must travel at a speed of:

A. 640 km/h

B. 600 km/h

C. 750 km/h

D. 720 km/h

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Correct Answer: Option D

Explanation:
Distance = Speed * Time = 240 * 5 = 1200 km. New time = 1 hour 40 minutes = 5/3 hours. New speed = Distance / New Time = 1200 / (5/3) = 1200 * 3 / 5 = 720 km/h.

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Question #140

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Excluding stoppages, the speed of a train is 80 km/h and including stoppages, it is 60 km/h. For how many minutes does the train stop per hour?

A. 12 minutes

B. 15 minutes

C. 20 minutes

D. 18 minutes

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Correct Answer: Option B

Explanation:
Stoppage time per hour = (Fast speed - Slow speed) / Fast speed = (80 - 60) / 80 = 20 / 80 = 1/4 hour. Converting to minutes = (1/4) * 60 = 15 minutes.

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