A person reaches his destination 40 minutes late if his speed is 3 km/h, and reaches 30 minutes early if his speed is 4 km/h. Find the distance to his destination. MCQ with Answer and Explanation
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Question #1
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A person row a boat 12 km downstream in 1 hour. If the river current flows at 3 km/h, find the time taken by the boat to row the same distance upstream.
Correct Answer: Option A
Explanation:
Downstream speed = 12 / 1 = 12 km/h. Baseline boat speed in still water = Downstream speed - Current speed = 12 - 3 = 9 km/h. Upstream speed = Still water speed - Current speed = 9 - 3 = 6 km/h. Time taken upstream = Distance / Upstream speed = 12 / 6 = 2 hours.
Downstream speed = 12 / 1 = 12 km/h. Baseline boat speed in still water = Downstream speed - Current speed = 12 - 3 = 9 km/h. Upstream speed = Still water speed - Current speed = 9 - 3 = 6 km/h. Time taken upstream = Distance / Upstream speed = 12 / 6 = 2 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A cargo container vehicle spans 450 meters in exactly 30 seconds. Find its baseline speed index in km/h.
Correct Answer: Option C
Explanation:
Speed = 450 / 30 = 15 m/s. In km/h index = 15 * (18/5) = 54 km/h.
Speed = 450 / 30 = 15 m/s. In km/h index = 15 * (18/5) = 54 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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The speed of two express locomotives are in the ratio 5 : 6. If the second locomotive maps 480 km in 4 hours, find the speed of the first locomotive.
Correct Answer: Option B
Explanation:
Speed of the second locomotive = 480 / 4 = 120 km/h. Ratio is 5:6, so 6 parts = 120 km/h => 1 part = 20 km/h. Speed of the first locomotive = 5 parts = 5 * 20 = 100 km/h.
Speed of the second locomotive = 480 / 4 = 120 km/h. Ratio is 5:6, so 6 parts = 120 km/h => 1 part = 20 km/h. Speed of the first locomotive = 5 parts = 5 * 20 = 100 km/h.
This question belongs to:
Maths
Time Speed and Distance
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