A thief escapes at 5:00 AM at 40 km/h. The police pursue him starting at 6:00 AM at 50 km/h. At what time will the thief be apprehended? MCQ with Answer and Explanation
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Question #1
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A private sedan tracks a sector path length of 480 km in 5 hours 20 minutes. Find its mean average speed index.
Correct Answer: Option D
Explanation:
Time = 5 hours 20 minutes = 5 + 20/60 = 5.333 hours = 16/3 hours. Speed index = Sector Distance / Time = 480 / (16/3) = 480 * 3 / 16 = 30 * 3 = 90 km/h.
Time = 5 hours 20 minutes = 5 + 20/60 = 5.333 hours = 16/3 hours. Speed index = Sector Distance / Time = 480 / (16/3) = 480 * 3 / 16 = 30 * 3 = 90 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A cyclist covers 1200 meters in 4 minutes flat. Find his speed index in km/h.
Correct Answer: Option B
Explanation:
Time = 4 minutes = 240 seconds. Speed = 1200 / 240 = 5 m/s. Converting to km/h = 5 * (18/5) = 18 km/h.
Time = 4 minutes = 240 seconds. Speed = 1200 / 240 = 5 m/s. Converting to km/h = 5 * (18/5) = 18 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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Walking at 4/5 of his normal pace, an official is 12 minutes late to his assignment station. Find his usual baseline time.
Correct Answer: Option B
Explanation:
New speed = 4/5 of usual speed => New time = 5/4 of usual time. Difference = 1/4 of usual time = 12 minutes. Usual time = 12 * 4 = 48 minutes.
New speed = 4/5 of usual speed => New time = 5/4 of usual time. Difference = 1/4 of usual time = 12 minutes. Usual time = 12 * 4 = 48 minutes.
This question belongs to:
Maths
Time Speed and Distance
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