The speed tracking profile of an express train is exactly 25% higher than a commercial car. Both take off from terminal A together and reach terminal B, 200 km away, at the same instant. On the corridor route, the train logs a total stall of 20 minutes at checkpoints. Find the car speed. 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 C
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 courier covers 40 km of his shift route at 20 km/h and the remaining 60 km at 30 km/h. Find his average speed across the whole shift.
Correct Answer: Option D
Explanation:
Total distance = 40 + 60 = 100 km. Time for first sector = 40 / 20 = 2 hours. Time for second sector = 60 / 30 = 2 hours. Total time = 4 hours. Average speed = 100 / 4 = 25 km/h.
Total distance = 40 + 60 = 100 km. Time for first sector = 40 / 20 = 2 hours. Time for second sector = 60 / 30 = 2 hours. Total time = 4 hours. Average speed = 100 / 4 = 25 km/h.
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Maths
Time Speed and Distance
Question #3
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A bus moving at 42 km/h covers a distance in 8 hours. At what speed must it travel to cover the same distance in 6 hours?
Correct Answer: Option B
Explanation:
Distance = 42 * 8 = 336 km. Required speed = 336 / 6 = 56 km/h.
Distance = 42 * 8 = 336 km. Required speed = 336 / 6 = 56 km/h.
This question belongs to:
Maths
Time Speed and Distance
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