A train passes a 150-meter long bridge in 15 seconds and a standard sign post in 9 seconds. Find the length of the train. MCQ with Answer and Explanation
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Question #1
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A shoplifter sprints from a mall sector at 6:00 PM at 12 km/h. The security detail discovers the lapse and pursues at 6:30 PM at 16 km/h. At what time will the detail intercept the shoplifter?
Correct Answer: Option A
Explanation:
In 30 minutes (from 6:00 to 6:30 PM), the shoplifter covers 12 * 0.5 = 6 km. Relative speed of pursuit = 16 - 12 = 4 km/h. Time to catch = 6 / 4 = 1.5 hours. Interception time = 6:30 PM + 1.5 hours = 8:00 PM.
In 30 minutes (from 6:00 to 6:30 PM), the shoplifter covers 12 * 0.5 = 6 km. Relative speed of pursuit = 16 - 12 = 4 km/h. Time to catch = 6 / 4 = 1.5 hours. Interception time = 6:30 PM + 1.5 hours = 8:00 PM.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A train 120 meters long is running at a speed of 54 km/h. How long will it take to cross a platform 180 meters long?
Correct Answer: Option C
Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Total distance = 120 + 180 = 300 meters. Time taken = 300 / 15 = 20 seconds.
Speed of train = 54 * (5/18) = 15 m/s. Total distance = 120 + 180 = 300 meters. Time taken = 300 / 15 = 20 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A man walks a certain distance at a speed of 4 km/h and runs back at 16 km/h. Find his average speed.
Correct Answer: Option B
Explanation:
Average Speed = (2 * 4 * 16) / (4 + 16) = 128 / 20 = 6.4 km/h.
Average Speed = (2 * 4 * 16) / (4 + 16) = 128 / 20 = 6.4 km/h.
This question belongs to:
Maths
Time Speed and Distance
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