A man rows downstream 48 km in 4 hours and upstream 24 km in 4 hours. Find the speed of the boat in still water. MCQ with Answer and Explanation
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Question #1
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A person walks from his house to office at 5 km/h and arrives 12 minutes late. If he walks at 6 km/h, he arrives 2 minutes late. Find the distance.
Correct Answer: Option C
Explanation:
Time difference = 12 - 2 = 10 minutes = 10/60 = 1/6 hours. Let distance be d. d / 5 - d / 6 = 1/6 => d / 30 = 1/6 => d = 5 km.
Time difference = 12 - 2 = 10 minutes = 10/60 = 1/6 hours. Let distance be d. d / 5 - d / 6 = 1/6 => d / 30 = 1/6 => d = 5 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A wheel makes 2000 revolutions in covering a distance of 44 km. Find the radius of the wheel.
Correct Answer: Option A
Explanation:
Distance covered in 1 revolution = Total Distance / Number of Revolutions = 44000 meters / 2000 = 22 meters. Circumference = 2 * (22/7) * r = 22 => 44r / 7 = 22 => r = 154 / 44 = 3.5 meters.
Distance covered in 1 revolution = Total Distance / Number of Revolutions = 44000 meters / 2000 = 22 meters. Circumference = 2 * (22/7) * r = 22 => 44r / 7 = 22 => r = 154 / 44 = 3.5 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A man covers 40% of his journey at 40 km/h, 50% of the remaining at 30 km/h and the rest at 15 km/h. What is his average speed for the whole journey?
Correct Answer: Option C
Explanation:
Let total distance be 100 km. First part: 40 km at 40 km/h => time = 1 hour. Remaining distance = 60 km. Second part: 50% of 60 = 30 km at 30 km/h => time = 1 hour. Remaining distance = 30 km. Third part: 30 km at 15 km/h => time = 2 hours. Total time = 1 + 1 + 2 = 4 hours. Average speed = 100 / 4 = 25 km/h.
Let total distance be 100 km. First part: 40 km at 40 km/h => time = 1 hour. Remaining distance = 60 km. Second part: 50% of 60 = 30 km at 30 km/h => time = 1 hour. Remaining distance = 30 km. Third part: 30 km at 15 km/h => time = 2 hours. Total time = 1 + 1 + 2 = 4 hours. Average speed = 100 / 4 = 25 km/h.
This question belongs to:
Maths
Time Speed and Distance
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