Two trains of equal length cross a pole in 10 seconds and 20 seconds respectively. If the length of each train is 100 meters, find the time taken by them to pass each other when running in opposite directions. MCQ with Answer and Explanation
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Question #1
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A passenger train clears a station side signal pillar in exactly 12 seconds. If the length of the train is 180 meters, find its speed in km/h.
Correct Answer: Option D
Explanation:
Speed of train = 180 / 12 = 15 m/s. Converting to km/h = 15 * (18/5) = 54 km/h.
Speed of train = 180 / 12 = 15 m/s. Converting to km/h = 15 * (18/5) = 54 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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Two points P and Q are 210 km apart. Train A leaves P for Q at 50 km/h at 10:00 AM. Train B leaves Q for P at 70 km/h at 11:00 AM. At what time will they pass each other?
Correct Answer: Option D
Explanation:
By 11:00 AM, Train A covers 50 km * 1 hour = 50 km. Remaining distance = 210 - 50 = 160 km. Relative speed = 50 + 70 = 120 km/h. Time to meet after 11:00 AM = 160 / 120 = 4/3 hours = 1 hour 20 minutes. Meeting time = 11:00 AM + 1 hour 20 minutes = 12:20 PM.
By 11:00 AM, Train A covers 50 km * 1 hour = 50 km. Remaining distance = 210 - 50 = 160 km. Relative speed = 50 + 70 = 120 km/h. Time to meet after 11:00 AM = 160 / 120 = 4/3 hours = 1 hour 20 minutes. Meeting time = 11:00 AM + 1 hour 20 minutes = 12:20 PM.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A sound wave takes 4 seconds to travel a distance between two structures. If the speed of sound is 340 m/s, what is the distance between the structures in kilometers?
Correct Answer: Option B
Explanation:
Distance = Speed * Time = 340 * 4 = 1360 meters. Converting to kilometers = 1360 / 1000 = 1.36 km.
Distance = Speed * Time = 340 * 4 = 1360 meters. Converting to kilometers = 1360 / 1000 = 1.36 km.
This question belongs to:
Maths
Time Speed and Distance
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