A person wins a 100-meter race in 12 seconds, while the runner-up finishes in 13 seconds. By what distance did the winner beat the runner-up? MCQ with Answer and Explanation
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Question #1
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A boatman rows 1 km in 5 minutes along the stream and 1 km in 12 minutes against the stream. Find the speed of the stream.
Correct Answer: Option A
Explanation:
Downstream speed = 1 km / (5/60 hours) = 12 km/h. Upstream speed = 1 km / (12/60 hours) = 5 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (12 - 5) / 2 = 3.5 km/h.
Downstream speed = 1 km / (5/60 hours) = 12 km/h. Upstream speed = 1 km / (12/60 hours) = 5 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (12 - 5) / 2 = 3.5 km/h.
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Maths
Time Speed and Distance
Question #2
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A man covers 30 km of his journey at 10 km/h and the remaining 40 km at 20 km/h. Find his average speed for the whole journey.
Correct Answer: Option B
Explanation:
Total distance = 30 + 40 = 70 km. Time for first part = 30 / 10 = 3 hours. Time for second part = 40 / 20 = 2 hours. Total time = 5 hours. Average speed = 70 / 5 = 14 km/h.
Total distance = 30 + 40 = 70 km. Time for first part = 30 / 10 = 3 hours. Time for second part = 40 / 20 = 2 hours. Total time = 5 hours. Average speed = 70 / 5 = 14 km/h.
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Maths
Time Speed and Distance
Question #3
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A wheel makes 1000 revolutions to cover a distance of 880 meters. Find the diameter of the wheel.
Correct Answer: Option B
Explanation:
Distance covered in 1 revolution = 880 / 1000 = 0.88 meters = 88 cm. Circumference = 2 * (22/7) * r = 88 cm => (44/7) * r = 88 => r = 14 cm. Diameter = 2r = 28 cm.
Distance covered in 1 revolution = 880 / 1000 = 0.88 meters = 88 cm. Circumference = 2 * (22/7) * r = 88 cm => (44/7) * r = 88 => r = 14 cm. Diameter = 2r = 28 cm.
This question belongs to:
Maths
Time Speed and Distance
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