Walking at 4/5 of his normal speed, a man is 12 minutes late. What is his usual time to cover the journey? MCQ with Answer and Explanation
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Question #1
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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
Question #2
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A person travels a distance of 200 km at an average speed of 50 km/h and returns at a speed of 40 km/h. Find the average speed for the round trip.
Correct Answer: Option B
Explanation:
Average Speed = 2xy / (x + y) = (2 * 50 * 40) / (50 + 40) = 4000 / 90 = 44.44 km/h.
Average Speed = 2xy / (x + y) = (2 * 50 * 40) / (50 + 40) = 4000 / 90 = 44.44 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A pedestrian walks at a constant pace of 5 km/h. How many meters can he cover in exactly 18 minutes?
Correct Answer: Option A
Explanation:
Speed = 5 km/h = 5000 meters / 60 minutes = 83.33 meters per minute. Distance in 18 minutes = 83.33 * 18 = 1500 meters.
Speed = 5 km/h = 5000 meters / 60 minutes = 83.33 meters per minute. Distance in 18 minutes = 83.33 * 18 = 1500 meters.
This question belongs to:
Maths
Time Speed and Distance
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