A car travels a distance of 360 km at a uniform speed. If the speed is reduced by 10 km/h, it takes 2 hours longer. Find the original speed. MCQ with Answer and Explanation
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Question #1
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A standard boat covers 12 km upstream in 4 hours and 16 km downstream in 2 hours. What is the speed of the boat in still water?
Correct Answer: Option C
Explanation:
Upstream speed = 12 / 4 = 3 km/h. Downstream speed = 16 / 2 = 8 km/h. Speed in still water = (Downstream speed + Upstream speed) / 2 = (8 + 3) / 2 = 5.5 km/h.
Upstream speed = 12 / 4 = 3 km/h. Downstream speed = 16 / 2 = 8 km/h. Speed in still water = (Downstream speed + Upstream speed) / 2 = (8 + 3) / 2 = 5.5 km/h.
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Maths
Time Speed and Distance
Question #2
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A man can row 6 km/h in still water. If it takes him twice as long to row upstream as to row downstream of a river, then the speed of the stream is:
Correct Answer: Option C
Explanation:
Let speed of stream be s. Downstream speed = 6 + s. Upstream speed = 6 - s. Given: 2 * (6 - s) = 6 + s => 12 - 2s = 6 + s => 3s = 6 => s = 2 km/h.
Let speed of stream be s. Downstream speed = 6 + s. Upstream speed = 6 - s. Given: 2 * (6 - s) = 6 + s => 12 - 2s = 6 + s => 3s = 6 => s = 2 km/h.
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Time Speed and Distance
Question #3
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Two distinct points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at constant speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What is the speed of the faster car?
Correct Answer: Option B
Explanation:
Let speeds be x and y (x > y). Same direction relative speed = x - y = 100 / 5 = 20 km/h. Opposite direction relative speed = x + y = 100 / 1 = 100 km/h. Adding equations: 2x = 120 => x = 60 km/h.
Let speeds be x and y (x > y). Same direction relative speed = x - y = 100 / 5 = 20 km/h. Opposite direction relative speed = x + y = 100 / 1 = 100 km/h. Adding equations: 2x = 120 => x = 60 km/h.
This question belongs to:
Maths
Time Speed and Distance
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