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? MCQ with Answer and Explanation
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Question #1
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Two cars A and B leave an intersection simultaneously. A travels North at 45 km/h and B travels East at 60 km/h. Find the direct distance between them after 1 hour.
Correct Answer: Option B
Explanation:
In 1 hour, distance covered by A = 45 km, and by B = 60 km. Direct distance = sqrt(45^2 + 60^2) = sqrt(2025 + 3600) = sqrt(5625) = 75 km.
In 1 hour, distance covered by A = 45 km, and by B = 60 km. Direct distance = sqrt(45^2 + 60^2) = sqrt(2025 + 3600) = sqrt(5625) = 75 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A swimmer registers 12 km upstream and 24 km downstream, taking 3 hours for each leg of the trials. Find the speed of the current stream.
Correct Answer: Option B
Explanation:
Upstream speed = 12 / 3 = 4 km/h. Downstream speed = 24 / 3 = 8 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (8 - 4) / 2 = 4 / 2 = 2 km/h.
Upstream speed = 12 / 3 = 4 km/h. Downstream speed = 24 / 3 = 8 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (8 - 4) / 2 = 4 / 2 = 2 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A train 200 meters long passes a running man in 10 seconds when both move in the same direction. If the speed of the man is 6 km/h, find the speed of the train.
Correct Answer: Option B
Explanation:
Relative speed = 200 / 10 = 20 m/s = 20 * (18/5) = 72 km/h. In the same direction, Relative Speed = Speed of train - Speed of man => 72 = Speed of train - 6 => Speed of train = 78 km/h.
Relative speed = 200 / 10 = 20 m/s = 20 * (18/5) = 72 km/h. In the same direction, Relative Speed = Speed of train - Speed of man => 72 = Speed of train - 6 => Speed of train = 78 km/h.
This question belongs to:
Maths
Time Speed and Distance
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