In a 300-meter dash race, X completes the track in 33 seconds and Y completes it in 36 seconds. By what distance does X beat Y? MCQ with Answer and Explanation
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Question #1
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The speed of a boat in still water is 15 km/h and the speed of the current is 3 km/h. Distance traveled downstream in 12 minutes is:
Correct Answer: Option A
Explanation:
Downstream speed = 15 + 3 = 18 km/h. Time = 12 minutes = 12/60 = 0.2 hours. Distance = Speed * Time = 18 * 0.2 = 3.6 km.
Downstream speed = 15 + 3 = 18 km/h. Time = 12 minutes = 12/60 = 0.2 hours. Distance = Speed * Time = 18 * 0.2 = 3.6 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A person travels from city A to city B at 50 km/h and returns at 70 km/h. What is his average speed for the round trip?
Correct Answer: Option D
Explanation:
Average speed = (2 * 50 * 70) / (50 + 70) = 7000 / 120 = 700 / 12 = 58.33 km/h.
Average speed = (2 * 50 * 70) / (50 + 70) = 7000 / 120 = 700 / 12 = 58.33 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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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.
This question belongs to:
Maths
Time Speed and Distance
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