A motorboat maps 32 km downstream in 2 hours and tracks the same upriver stretch upstream in 4 hours. Find the baseline speed of the boat hull in still water. MCQ with Answer and Explanation
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Question #1
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A car covers a certain distance at an average speed of 60 km/h in 4 hours. At what speed must it travel to cover the same distance in 3 hours?
Correct Answer: Option A
Explanation:
Distance = 60 * 4 = 240 km. New required speed = 240 / 3 = 80 km/h.
Distance = 60 * 4 = 240 km. New required speed = 240 / 3 = 80 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A train running at 90 km/h crosses a platform double its length in 36 seconds. What is the length of the platform?
Correct Answer: Option C
Explanation:
Speed of train = 90 * (5/18) = 25 m/s. Total distance covered in 36 seconds = 25 * 36 = 900 meters. Let train length be L, so platform length = 2L. L + 2L = 900 => 3L = 900 => L = 300 meters. Platform length = 2L = 600 meters.
Speed of train = 90 * (5/18) = 25 m/s. Total distance covered in 36 seconds = 25 * 36 = 900 meters. Let train length be L, so platform length = 2L. L + 2L = 900 => 3L = 900 => L = 300 meters. Platform length = 2L = 600 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A locomotive running at 54 km/h takes 20 seconds to completely cross a platform. If it takes 8 seconds to pass a standing point observer, find the platform length.
Correct Answer: Option C
Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Length of train = Speed * Time to cross observer = 15 * 8 = 120 meters. Total distance to cross platform = Speed * Time = 15 * 20 = 300 meters. Platform length = 300 - 120 = 180 meters.
Speed of train = 54 * (5/18) = 15 m/s. Length of train = Speed * Time to cross observer = 15 * 8 = 120 meters. Total distance to cross platform = Speed * Time = 15 * 20 = 300 meters. Platform length = 300 - 120 = 180 meters.
This question belongs to:
Maths
Time Speed and Distance
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