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? MCQ with Answer and Explanation
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Question #1
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A vehicle runs at an average speed of 54 km/h. It wraps the first half of the trip duration in 2 hours and the second half duration at 66 km/h. Find the time spent on the second half duration.
Correct Answer: Option D
Explanation:
Since it specifies 'half of the trip duration', the time for both halves is identical. Time spent on the second half is equal to the first half, which is 2 hours.
Since it specifies 'half of the trip duration', the time for both halves is identical. Time spent on the second half is equal to the first half, which is 2 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A boatman can row 12 km/h in still water. If the river velocity index tracks at 2 km/h, find the time parameter required by the boat hull to row 40 km upstream.
Correct Answer: Option A
Explanation:
Upstream speed = 12 - 2 = 10 km/h. Time required = Distance / Upstream Speed = 40 / 10 = 4 hours.
Upstream speed = 12 - 2 = 10 km/h. Time required = Distance / Upstream Speed = 40 / 10 = 4 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A dog spots a rabbit 200 meters away. The rabbit speeds off at 24 km/h and the dog pursues at 30 km/h. How much distance will the rabbit run before it is caught?
Correct Answer: Option C
Explanation:
Relative speed = 30 - 24 = 6 km/h = 6 * (5/18) = 5/3 m/s. Time to catch = 200 / (5/3) = 120 seconds. Distance run by rabbit = Speed * Time = [24 * (5/18)] * 120 = (20/3) * 120 = 800 meters.
Relative speed = 30 - 24 = 6 km/h = 6 * (5/18) = 5/3 m/s. Time to catch = 200 / (5/3) = 120 seconds. Distance run by rabbit = Speed * Time = [24 * (5/18)] * 120 = (20/3) * 120 = 800 meters.
This question belongs to:
Maths
Time Speed and Distance
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