Time Speed and Distance MCQs with Answers and Solutions

Question #381

A real estate agent drives from his house to an office at 10 km/h and arrives 12 minutes late. If he increases his speed to 15 km/h, he arrives 4 minutes early. Find the distance.

A. 10 km

B. 8 km

C. 12 km

D. 6 km

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Correct Answer: Option B

Explanation:
Time difference = 12 - (-4) = 16 minutes = 16/60 = 4/15 hours. Let distance be d. d/10 - d/15 = 4/15 => (3d - 2d) / 30 = 4/15 => d / 30 = 4/15 => d = 8 km.

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Question #382

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The speeds of two parallel running trains are in the ratio 5 : 4. Moving in opposite directions, they take 6 seconds each to pass a stationary signal post. Find the total time they take to cross each other completely.

A. 6.6 seconds

B. 7.2 seconds

C. 5.4 seconds

D. 6.0 seconds

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Correct Answer: Option D

Explanation:
Let the speeds be 5x and 4x. Length of first train = 5x * 6 = 30x. Length of second train = 4x * 6 = 24x. Total passing distance = 30x + 24x = 54x. Relative speed = 5x + 4x = 9x. Time taken to cross each other = 54x / 9x = 6 seconds.

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Question #383

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A cross-country runner covers the sides of an equilateral triangular course at speeds of 8 km/h, 12 km/h and 24 km/h respectively. Find his average speed for the whole round.

A. 14 km/h

B. 10 km/h

C. 12 km/h

D. 16 km/h

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Correct Answer: Option C

Explanation:
Let each side of the triangular course be 24 km. Total perimeter = 3 * 24 = 72 km. Total time taken = 24/8 + 24/12 + 24/24 = 3 + 2 + 1 = 6 hours. Average speed = 72 / 6 = 12 km/h.

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Question #384

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A delivery van moving at 36 km/h covers a sector path in 10 hours. At what speed must it travel to cover the same path distance in 8 hours?

A. 42 km/h

B. 48 km/h

C. 50 km/h

D. 45 km/h

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Correct Answer: Option D

Explanation:
Distance = 36 * 10 = 360 km. Required speed = 360 / 8 = 45 km/h.

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Question #385

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A passenger train running at 54 km/h passes through a tunnel 400 meters long in 40 seconds. Find the length of the train.

A. 200 meters

B. 180 meters

C. 240 meters

D. 220 meters

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Correct Answer: Option A

Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Total distance covered in 40 seconds = 15 * 40 = 600 meters. Length of train = Total distance - Tunnel length = 600 - 400 = 200 meters.

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Question #386

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Walking at 7/9 of his usual speed, an accountant is 20 minutes late to his branch. What is his usual time to reach the destination?

A. 70 minutes

B. 80 minutes

C. 60 minutes

D. 90 minutes

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Correct Answer: Option A

Explanation:
New speed = 7/9 of usual speed => New time = 9/7 of usual time. Difference = 2/7 of usual time = 20 minutes. Therefore, 1/7 of usual time = 10 minutes => Usual time = 70 minutes.

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Question #387

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A motorboat covers 12 km upstream and returns back to the starting jetty in 3 hours. If the speed of the boat in still water is 9 km/h, find the speed of the river current.

A. 5 km/h

B. 4 km/h

C. 3 km/h

D. 2 km/h

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Correct Answer: Option C

Explanation:
Let the speed of the current be c km/h. 12 / (9 - c) + 12 / (9 + c) = 3. Dividing by 3: 4 / (9 - c) + 4 / (9 + c) = 1 => 4(9 + c + 9 - c) = 81 - c^2 => 72 = 81 - c^2 => c^2 = 9 => c = 3 km/h.

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Question #388

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Two standard vehicles depart a warehouse at the same instant at a right angle. Their speeds are 45 km/h and 60 km/h. Find the direct distance separating them after 20 minutes.

A. 20 km

B. 30 km

C. 35 km

D. 25 km

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Correct Answer: Option D

Explanation:
Time = 20 minutes = 1/3 hours. Distance covered by first vehicle = 45 * (1/3) = 15 km. Distance covered by second vehicle = 60 * (1/3) = 20 km. Direct line distance = sqrt(15^2 + 20^2) = sqrt(225 + 400) = sqrt(625) = 25 km.

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Question #389

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A train running at 75 km/h overtakes a motor cyclist riding at 15 km/h in the same direction in 15 seconds. Find the absolute length of the train.

A. 220 meters

B. 270 meters

C. 250 meters

D. 300 meters

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Correct Answer: Option C

Explanation:
Relative speed = 75 - 15 = 60 km/h = 60 * (5/18) = 50/3 m/s. Length of train = Relative speed * Time = (50/3) * 15 = 250 meters.

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Question #390

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A sonar signal takes 6 seconds to travel down to an underwater reef and reflect back to the vessel. If the speed of sound in water is 1500 m/s, find the depth of the reef in kilometers.

A. 4.2 km

B. 4.8 km

C. 4.5 km

D. 5.0 km

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Correct Answer: Option C

Explanation:
Total travel time to reef and back = 6 seconds. Time to reach reef = 3 seconds. Depth = Speed * Time = 1500 * 3 = 4500 meters = 4.5 km.

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Question #391

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A person can row 10 km/h in still water. If it takes him exactly twice as long to row upstream as to row downstream over the same stretch, find the speed of the current.

A. 4.00 km/h

B. 3.33 km/h

C. 3.03 km/h

D. 3.66 km/h

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Correct Answer: Option B

Explanation:
Let speed of current be c km/h. Downstream speed = 10 + c, Upstream speed = 10 - c. Given: 2 * (10 - c) = 10 + c => 20 - 2c = 10 + c => 3c = 10 => c = 10/3 = 3.33 km/h.

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Question #392

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A truck covers 60 km at 30 km/h and then another 100 km at 50 km/h. Find the overall average speed for the full transit.

A. 45 km/h

B. 40 km/h

C. 38 km/h

D. 42 km/h

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Correct Answer: Option B

Explanation:
Total distance = 60 + 100 = 160 km. Time for first leg = 60 / 30 = 2 hours. Time for second leg = 100 / 50 = 2 hours. Total time = 4 hours. Average speed = 160 / 4 = 40 km/h.

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Question #393

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A train 120 meters long running at 108 km/h completely passes another train 180 meters long running at 72 km/h in the same direction. How much time do they take to clear each other?

A. 30 seconds

B. 40 seconds

C. 25 seconds

D. 35 seconds

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Correct Answer: Option A

Explanation:
Total distance to be covered = 120 + 180 = 300 meters. Relative speed in same direction = 108 - 72 = 36 km/h = 36 * (5/18) = 10 m/s. Time taken = 300 / 10 = 30 seconds.

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Question #394

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A vehicle covers a path of 360 km at a certain speed. If the speed is increased by 10 km/h, the trip takes exactly 3 hours less. Find the original speed of the vehicle.

A. 25 km/h

B. 35 km/h

C. 40 km/h

D. 30 km/h

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Correct Answer: Option D

Explanation:
Let original speed be s. 360/s - 360/(s+10) = 3 => 120/s - 120/(s+10) = 1 => 120(10) = s(s+10) => 1200 = s(s+10). Solving s^2 + 10s - 1200 = 0 gives (s - 30)(s + 40) = 0. Since speed is positive, s = 30 km/h.

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Question #395

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A locomotive running at 54 km/h takes 20 seconds to completely cross a platform. If it takes 8 seconds to pass a standing point observer, find the platform length.

A. 200 meters

B. 160 meters

C. 180 meters

D. 220 meters

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Correct Answer: Option C

Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Length of train = Speed * Time to cross observer = 15 * 8 = 120 meters. Total distance to cross platform = Speed * Time = 15 * 20 = 300 meters. Platform length = 300 - 120 = 180 meters.

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Question #396

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Two marathoners run a long stretch. The winner finishes in 50 minutes while the second runner takes 55 minutes. By what percentage is the winner's speed higher than the runner-up's speed?

A. 12%

B. 8%

C. 10%

D. 15%

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Correct Answer: Option C

Explanation:
Since distance is constant, speed is inversely proportional to time. Ratio of times Winner:Runner-up = 50:55 = 10:11. Ratio of speeds Winner:Runner-up = 11:10. Speed excess percentage = ((11 - 10) / 10) * 100 = 10%.

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Question #397

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If a delivery agent cycles at 15 km/h instead of 11 km/h, he travels 20 km more in the same allotted duration. Find the actual distance covered by him at his lower speed.

A. 55 km

B. 50 km

C. 60 km

D. 65 km

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Correct Answer: Option A

Explanation:
Let the time duration be t hours. Distance difference = 15t - 11t = 4t = 20 km => t = 5 hours. Distance covered at lower speed = 11 * 5 = 55 km.

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Question #398

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A train 260 meters long passes a roadside signal box in 13 seconds. How long will it take to pass a bridge 440 meters long?

A. 32 seconds

B. 40 seconds

C. 38 seconds

D. 35 seconds

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Correct Answer: Option D

Explanation:
Speed of train = 260 / 13 = 20 m/s. Total distance to cross the bridge = 260 + 440 = 700 meters. Time required = 700 / 20 = 35 seconds.

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Question #399

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The speed of two luxury sedans are in the ratio 6 : 7. If car A takes 2.1 hours to cover a specific lap distance, find the time taken by car B.

A. 2.0 hours

B. 2.2 hours

C. 1.8 hours

D. 1.5 hours

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Correct Answer: Option C

Explanation:
Ratio of speeds A:B = 6:7, so ratio of times taken A:B = 7:6. Given 7 parts = 2.1 hours for car A => 1 part = 0.3 hours. Time taken by car B = 6 parts = 6 * 0.3 = 1.8 hours.

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Question #400

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A speedboat tracks 42 km downstream in 2 hours and handles the same route upstream in 3 hours. Find the speed of the river stream.

A. 4.5 km/h

B. 4.0 km/h

C. 3.0 km/h

D. 3.5 km/h

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Correct Answer: Option D

Explanation:
Downstream speed = 42 / 2 = 21 km/h. Upstream speed = 42 / 3 = 14 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (21 - 14) / 2 = 7 / 2 = 3.5 km/h.

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