A man rows 10 km/h in still water. If the river current tracks at 2 km/h, it takes him 2.5 hours to row to a point and back. How far is the point? MCQ with Answer and Explanation
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Question #1
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A cyclist covers a 1500-meter course in 5 minutes. Find his speed in km/h.
Correct Answer: Option B
Explanation:
Time = 5 minutes = 300 seconds. Speed = 1500 / 300 = 5 m/s. Converting to km/h = 5 * (18/5) = 18 km/h.
Time = 5 minutes = 300 seconds. Speed = 1500 / 300 = 5 m/s. Converting to km/h = 5 * (18/5) = 18 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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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?
Correct Answer: Option C
Explanation:
Speed of runner-up = 100 / 13 m/s. Distance covered by runner-up in 12 seconds = (100 / 13) * 12 = 1200 / 13 = 92.31 meters. Beat distance = 100 - 92.31 = 7.69 meters.
Speed of runner-up = 100 / 13 m/s. Distance covered by runner-up in 12 seconds = (100 / 13) * 12 = 1200 / 13 = 92.31 meters. Beat distance = 100 - 92.31 = 7.69 meters.
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Maths
Time Speed and Distance
Question #3
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A suspect flees at 6:00 AM at a uniform speed of 50 km/h. The enforcement squad tracks pursuit at 7:00 AM at 60 km/h. At what time will the squad apprehend the suspect?
Correct Answer: Option A
Explanation:
By 7:00 AM, the suspect has traveled for 1 hour and covered 50 km. Relative tracking speed = 60 - 50 = 10 km/h. Time taken to catch = 50 / 10 = 5 hours. Apprehension time = 7:00 AM + 5 hours = 12:00 PM.
By 7:00 AM, the suspect has traveled for 1 hour and covered 50 km. Relative tracking speed = 60 - 50 = 10 km/h. Time taken to catch = 50 / 10 = 5 hours. Apprehension time = 7:00 AM + 5 hours = 12:00 PM.
This question belongs to:
Maths
Time Speed and Distance
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