A boat moves upstream at a pace of 10 km/h and handles downstream at 16 km/h. Find the speed of the river current. MCQ with Answer and Explanation
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Question #1
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A wheel makes 2000 revolutions to cover a distance of 1760 meters. Find the radius of the wheel.
Correct Answer: Option A
Explanation:
Distance covered in 1 revolution = 1760 / 2000 = 0.88 meters = 88 cm. Circumference = 2 * (22/7) * r = 88 cm => (44/7) * r = 88 => r = 14 cm.
Distance covered in 1 revolution = 1760 / 2000 = 0.88 meters = 88 cm. Circumference = 2 * (22/7) * r = 88 cm => (44/7) * r = 88 => r = 14 cm.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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Two cars start from the same place at the same time in the same direction. The first car runs at a constant speed of 50 km/h and the second car runs at 60 km/h. What is the distance between them after 3 hours 30 minutes?
Correct Answer: Option A
Explanation:
Relative speed = 60 - 50 = 10 km/h. Time = 3.5 hours. Distance between them = Relative Speed * Time = 10 * 3.5 = 35 km.
Relative speed = 60 - 50 = 10 km/h. Time = 3.5 hours. Distance between them = Relative Speed * Time = 10 * 3.5 = 35 km.
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Maths
Time Speed and Distance
Question #3
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Two cars leave a location simultaneously at a right angle to each other. Their speeds are 36 km/h and 48 km/h respectively. Find the direct distance between them after 15 minutes.
Correct Answer: Option B
Explanation:
Time = 15 minutes = 0.25 hours. Distance covered by first car = 36 * 0.25 = 9 km. Distance covered by second car = 48 * 0.25 = 12 km. Since they travel at right angles, distance between them = sqrt(9^2 + 12^2) = sqrt(81 + 144) = sqrt(225) = 15 km.
Time = 15 minutes = 0.25 hours. Distance covered by first car = 36 * 0.25 = 9 km. Distance covered by second car = 48 * 0.25 = 12 km. Since they travel at right angles, distance between them = sqrt(9^2 + 12^2) = sqrt(81 + 144) = sqrt(225) = 15 km.
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Maths
Time Speed and Distance
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