Time Speed and Distance MCQs

Maths

Time Speed and Distance MCQs

Practice Time, Speed and Distance MCQs with answers and detailed solutions. Learn train problems, boats and streams, relative speed, average speed, races, journeys and advanced quantitative aptitude questions for competitive examinations.

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Question #221
A car covers a certain distance at 45 km/h. If it increases its speed to 60 km/h, it arrives 30 minutes earlier. Find the total distance.
A. 90 km
B. 120 km
C. 100 km
D. 80 km
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Correct Answer: Option A

Explanation:
Time difference = 30 minutes = 0.5 hours. Let distance be d. d / 45 - d / 60 = 0.5 => (4d - 3d) / 180 = 0.5 => d / 180 = 0.5 => d = 90 km.
This question belongs to: Maths Time Speed and Distance
Question #222
A man rows upstream 14 km and downstream 26 km, taking 4 hours each time. Find the speed of the current.
A. 1.75 km/h
B. 2.00 km/h
C. 1.50 km/h
D. 1.25 km/h
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Correct Answer: Option C

Explanation:
Upstream speed = 14 / 4 = 3.5 km/h. Downstream speed = 26 / 4 = 6.5 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (6.5 - 3.5) / 2 = 3 / 2 = 1.5 km/h.
This question belongs to: Maths Time Speed and Distance
Question #223
A train passes an active signal light in 10 seconds. If the length of the train is 150 meters, find its speed in km/h.
A. 60 km/h
B. 72 km/h
C. 54 km/h
D. 48 km/h
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Correct Answer: Option C

Explanation:
Speed of train = 150 / 10 = 15 m/s. In km/h = 15 * (18/5) = 54 km/h.
This question belongs to: Maths Time Speed and Distance
Question #224
A bus runs at 40 km/h for 2 hours and 50 km/h for the next 3 hours. Find the average speed of the bus for the total journey.
A. 48 km/h
B. 46 km/h
C. 47 km/h
D. 45 km/h
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Correct Answer: Option B

Explanation:
Distance 1 = 40 * 2 = 80 km. Distance 2 = 50 * 3 = 150 km. Total distance = 230 km. Total time = 2 + 3 = 5 hours. Average speed = 230 / 5 = 46 km/h.
This question belongs to: Maths Time Speed and Distance
Question #225
A sound wave covers a distance of 1.7 km in 5 seconds. What is the speed of sound in m/s?
A. 320 m/s
B. 350 m/s
C. 360 m/s
D. 340 m/s
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Correct Answer: Option D

Explanation:
Distance = 1.7 km = 1700 meters. Speed = Distance / Time = 1700 / 5 = 340 m/s.
This question belongs to: Maths Time Speed and Distance
Question #226
A person can row 10 km/h in still water. If the speed of the river current is 3 km/h, find the time taken to row 28 km upstream.
A. 5 hours
B. 3 hours
C. 6 hours
D. 4 hours
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Correct Answer: Option D

Explanation:
Upstream speed = 10 - 3 = 7 km/h. Time taken = 28 / 7 = 4 hours.
This question belongs to: Maths Time Speed and Distance
Question #227
The speed of a train is 54 km/h. How many meters does it cross in 20 seconds?
A. 300 meters
B. 250 meters
C. 350 meters
D. 400 meters
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Correct Answer: Option A

Explanation:
Speed = 54 * (5/18) = 15 m/s. Distance in 20 seconds = Speed * Time = 15 * 20 = 300 meters.
This question belongs to: Maths Time Speed and Distance
Question #228
A car covered a distance of 200 km at a uniform speed. If the speed is reduced by 10 km/h, the time taken increases by 1 hour. Find the original speed.
A. 55 km/h
B. 50 km/h
C. 45 km/h
D. 60 km/h
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Correct Answer: Option B

Explanation:
Let original speed be s. 200 / (s - 10) - 200 / s = 1 => 200(s - s + 10) = s(s - 10) => 2000 = s(s - 10). Solving s^2 - 10s - 2000 = 0 gives (s - 50)(s + 40) = 0. Since speed is positive, s = 50 km/h.
This question belongs to: Maths Time Speed and Distance
Question #229
A cyclist covers 400 meters in 1 minute 20 seconds. What is his speed in km/h?
A. 18 km/h
B. 24 km/h
C. 20 km/h
D. 15 km/h
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Correct Answer: Option A

Explanation:
Time = 1 minute 20 seconds = 80 seconds. Speed = 400 / 80 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.
This question belongs to: Maths Time Speed and Distance
Question #230
A train 160 meters long passes a platform 240 meters long in 20 seconds. Find the speed of the train in km/h.
A. 64 km/h
B. 72 km/h
C. 84 km/h
D. 80 km/h
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Correct Answer: Option B

Explanation:
Total distance = 160 + 240 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #231
Walking at 5/7 of his usual speed, a man reaches his destination 24 minutes late. What is his usual time to reach the destination?
A. 75 minutes
B. 80 minutes
C. 50 minutes
D. 60 minutes
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Correct Answer: Option D

Explanation:
New speed = 5/7 of usual speed => New time = 7/5 of usual time. Difference = 2/5 of usual time = 24 minutes. 1/5 of usual time = 12 minutes => Usual time = 60 minutes.
This question belongs to: Maths Time Speed and Distance
Question #232
Two cars A and B leave an intersection simultaneously at right angles. A travels North at 60 km/h and B travels East at 80 km/h. Find the direct distance between them after 30 minutes.
A. 40 km
B. 70 km
C. 60 km
D. 50 km
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Correct Answer: Option D

Explanation:
Time = 30 minutes = 0.5 hours. Distance covered by A = 60 * 0.5 = 30 km. Distance covered by B = 80 * 0.5 = 40 km. Distance between them = sqrt(30^2 + 40^2) = sqrt(900 + 1600) = sqrt(2500) = 50 km.
This question belongs to: Maths Time Speed and Distance
Question #233
A train running at 90 km/h overtakes a cyclist riding at 18 km/h in the same direction in 10 seconds. Find the length of the train.
A. 220 meters
B. 200 meters
C. 240 meters
D. 180 meters
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Correct Answer: Option B

Explanation:
Relative speed = 90 - 18 = 72 km/h = 72 * (5/18) = 20 m/s. Length of train = Relative speed * Time = 20 * 10 = 200 meters.
This question belongs to: Maths Time Speed and Distance
Question #234
The speed of a boat in still water is 14 km/h and the speed of the current is 4 km/h. How much distance can the boat cover upstream in 2 hours?
A. 22 km
B. 20 km
C. 18 km
D. 24 km
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Correct Answer: Option B

Explanation:
Upstream speed = 14 - 4 = 10 km/h. Distance covered in 2 hours = 10 * 2 = 20 km.
This question belongs to: Maths Time Speed and Distance
Question #235
A person runs around a circular track of circumference 400 meters. If his speed is 14.4 km/h, how many rounds can he complete in 10 minutes?
A. 7 rounds
B. 6 rounds
C. 8 rounds
D. 5 rounds
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Correct Answer: Option B

Explanation:
Speed = 14.4 km/h = 14.4 * (5/18) = 4 m/s. Time = 10 minutes = 600 seconds. Total distance = 4 * 600 = 2400 meters. Number of rounds = 2400 / 400 = 6 rounds.
This question belongs to: Maths Time Speed and Distance
Question #236
A person walks from his house to office at 5 km/h and arrives 10 minutes late. If he walks at 6 km/h, he arrives 4 minutes late. Find the distance.
A. 3.5 km
B. 2.5 km
C. 4.0 km
D. 3.0 km
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Correct Answer: Option D

Explanation:
Time difference = 10 - 4 = 6 minutes = 6/60 = 0.1 hours. Let distance be d. d / 5 - d / 6 = 0.1 => d / 30 = 0.1 => d = 3 km.
This question belongs to: Maths Time Speed and Distance
Question #237
A train passes a static observer in 10 seconds and a platform 150 meters long in 16 seconds. Find the length of the train.
A. 280 meters
B. 200 meters
C. 300 meters
D. 250 meters
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Correct Answer: Option D

Explanation:
Time to cross the platform alone = 16 - 10 = 6 seconds. Speed of train = 150 / 6 = 25 m/s. Length of train = Speed * Time to pass observer = 25 * 10 = 250 meters.
This question belongs to: Maths Time Speed and Distance
Question #238
A man can row 8 km/h in still water. If the river current flows at 2 km/h, it takes him 3.2 hours to row to a place and back. How far is the place?
A. 10 km
B. 14 km
C. 12 km
D. 15 km
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Correct Answer: Option C

Explanation:
Downstream speed = 8 + 2 = 10 km/h. Upstream speed = 8 - 2 = 6 km/h. Let distance be d. d / 10 + d / 6 = 3.2 => 16d / 60 = 3.2 => 16d = 192 => d = 12 km.
This question belongs to: Maths Time Speed and Distance
Question #239
The speeds of two cars are in the ratio 5 : 4. If they cover the same distance, and the slower car takes 2.5 hours, how much time does the faster car take?
A. 2.2 hours
B. 1.8 hours
C. 2.4 hours
D. 2.0 hours
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Correct Answer: Option D

Explanation:
Ratio of speeds = 5:4, so ratio of times taken = 4:5. The slower car corresponds to 5 parts = 2.5 hours => 1 part = 0.5 hours. Time for the faster car = 4 parts = 4 * 0.5 = 2 hours.
This question belongs to: Maths Time Speed and Distance
Question #240
A person covers a distance of 80 km at 20 km/h and another 120 km at 40 km/h. Find his average speed for the whole journey.
A. 28.57 km/h
B. 28 km/h
C. 30 km/h
D. 32 km/h
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Correct Answer: Option A

Explanation:
Total distance = 80 + 120 = 200 km. Total time taken = 80/20 + 120/40 = 4 + 3 = 7 hours. Average speed = 200 / 7 = 28.57 km/h.
This question belongs to: Maths Time Speed and Distance

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