A thief steals a car at 2:30 PM and drives it at 60 km/h. The theft is discovered at 3:00 PM and the owner sets off in another car at 75 km/h. When will he overtake the thief? MCQ with Answer and Explanation
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Question #1
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Two locomotive train units of equal layout lengths pass a single track sign pole in 10 seconds and 15 seconds. If each train length tracks at 120 meters, find the time parameter to pass each other completely when running in opposite directions.
Correct Answer: Option A
Explanation:
Speed of first train = 120 / 10 = 12 m/s. Speed of second train = 120 / 15 = 8 m/s. Total tracking distance = 120 + 120 = 240 meters. Relative speed in opposite directions = 12 + 8 = 20 m/s. Time required = 240 / 20 = 12 seconds.
Speed of first train = 120 / 10 = 12 m/s. Speed of second train = 120 / 15 = 8 m/s. Total tracking distance = 120 + 120 = 240 meters. Relative speed in opposite directions = 12 + 8 = 20 m/s. Time required = 240 / 20 = 12 seconds.
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Maths
Time Speed and Distance
Question #2
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A person travels a distance of 300 km at an average speed of 60 km/h and returns at a speed of 40 km/h. Find the average speed for the round trip.
Correct Answer: Option A
Explanation:
Average Speed = 2xy / (x + y) = (2 * 60 * 40) / (60 + 40) = 4800 / 100 = 48 km/h.
Average Speed = 2xy / (x + y) = (2 * 60 * 40) / (60 + 40) = 4800 / 100 = 48 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A field clerk walking at 5 km/h handles a regular sector. If he steps up to run at 10 km/h, he takes 24 minutes less across the course stretch. Find the absolute distance profile.
Correct Answer: Option B
Explanation:
Time difference = 24 minutes = 24/60 = 2/5 hours. Let distance be d. d / 5 - d / 10 = 2/5 => d / 10 = 2/5 => d = 4 km.
Time difference = 24 minutes = 24/60 = 2/5 hours. Let distance be d. d / 5 - d / 10 = 2/5 => d / 10 = 2/5 => d = 4 km.
This question belongs to:
Maths
Time Speed and Distance
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