A man covers 50 km at a speed of 25 km/h and another 90 km at a speed of 30 km/h. Find his average speed for the whole journey. MCQ with Answer and Explanation
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Question #1
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The outer wheel of a cart makes 500 revolutions in moving a distance of 1.1 km. Find the diameter of the wheel.
Correct Answer: Option A
Explanation:
Distance in 1 revolution = Total distance / Number of revolutions = 1100 meters / 500 = 2.2 meters. Circumference = 2 * (22/7) * r = 2.2 meters => Diameter (2r) * (22/7) = 2.2 => Diameter = 2.2 * 7 / 22 = 0.7 meters = 70 cm.
Distance in 1 revolution = Total distance / Number of revolutions = 1100 meters / 500 = 2.2 meters. Circumference = 2 * (22/7) * r = 2.2 meters => Diameter (2r) * (22/7) = 2.2 => Diameter = 2.2 * 7 / 22 = 0.7 meters = 70 cm.
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Maths
Time Speed and Distance
Question #2
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Two points M and N are separated by 300 km. At 8:00 AM, a car leaves M for N at 60 km/h. At 9:00 AM, another car leaves N for M at 90 km/h. At what time will they pass each other?
Correct Answer: Option B
Explanation:
By 9:00 AM, the first car covers 60 km * 1 hour = 60 km. The remaining distance between them is 300 - 60 = 240 km. Relative speed = 60 + 90 = 150 km/h. Time to meet after 9:00 AM = 240 / 150 = 8/5 hours = 1 hour 36 minutes. Meeting time = 9:00 AM + 1 hour 36 minutes = 10:36 AM.
By 9:00 AM, the first car covers 60 km * 1 hour = 60 km. The remaining distance between them is 300 - 60 = 240 km. Relative speed = 60 + 90 = 150 km/h. Time to meet after 9:00 AM = 240 / 150 = 8/5 hours = 1 hour 36 minutes. Meeting time = 9:00 AM + 1 hour 36 minutes = 10:36 AM.
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Maths
Time Speed and Distance
Question #3
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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.
Correct Answer: Option B
Explanation:
Time difference = 40 - (-30) = 70 minutes = 70 / 60 = 7/6 hours. Let distance be d. d/3 - d/4 = 7/6 => d/12 = 7/6 => d = 14 km.
Time difference = 40 - (-30) = 70 minutes = 70 / 60 = 7/6 hours. Let distance be d. d/3 - d/4 = 7/6 => d/12 = 7/6 => d = 14 km.
This question belongs to:
Maths
Time Speed and Distance
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