Walking at 3/4 of his normal speed, a person is 10 minutes late to his destination. What is his normal time? MCQ with Answer and Explanation
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Question #1
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A train running at 54 km/h takes 20 seconds to pass a bridge. Next, it passes a man walking at 6 km/h in the same direction in 12 seconds. Find the length of the bridge.
Correct Answer: Option B
Explanation:
Speed of train = 54 km/h = 15 m/s. Speed of man = 6 km/h = 5/3 m/s. Relative speed = 15 - 5/3 = 40/3 m/s. Length of train = Relative speed * time = (40/3) * 12 = 160 meters. To pass bridge: Total distance = Length of train + Length of bridge = 15 m/s * 20 seconds = 300 meters. Length of bridge = 300 - 160 = 140 meters.
Speed of train = 54 km/h = 15 m/s. Speed of man = 6 km/h = 5/3 m/s. Relative speed = 15 - 5/3 = 40/3 m/s. Length of train = Relative speed * time = (40/3) * 12 = 160 meters. To pass bridge: Total distance = Length of train + Length of bridge = 15 m/s * 20 seconds = 300 meters. Length of bridge = 300 - 160 = 140 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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The speed of a train is 54 km/h. How many meters does it cross in 20 seconds?
Correct Answer: Option A
Explanation:
Speed = 54 * (5/18) = 15 m/s. Distance in 20 seconds = Speed * Time = 15 * 20 = 300 meters.
Speed = 54 * (5/18) = 15 m/s. Distance in 20 seconds = Speed * Time = 15 * 20 = 300 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A train 300 meters long requires exactly 25 seconds to pass a railway worker running at 6 km/h in the opposite direction. Find the speed of the train.
Correct Answer: Option C
Explanation:
Relative speed = 300 / 25 = 12 m/s = 12 * (18/5) = 43.2 km/h. Since they move in opposite directions, Relative Speed = Speed of train + Speed of worker => 43.2 = Speed of train + 6 => Speed of train = 37.2 km/h.
Relative speed = 300 / 25 = 12 m/s = 12 * (18/5) = 43.2 km/h. Since they move in opposite directions, Relative Speed = Speed of train + Speed of worker => 43.2 = Speed of train + 6 => Speed of train = 37.2 km/h.
This question belongs to:
Maths
Time Speed and Distance
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