A man walks from his residence to a focal point at 4 km/h and arrives 10 minutes late. If he increases his speed to 5 km/h, he arrives 2 minutes early. Find the distance. MCQ with Answer and Explanation
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Question #1
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A thief steals a car at 2:30 PM and drives it at 60 km/h. The theft is discovered at 3:00 PM and the owner sets off in another car at 75 km/h. When will he overtake the thief?
Correct Answer: Option A
Explanation:
By 3:00 PM, the thief has driven for 30 minutes (0.5 hours) and covered 60 * 0.5 = 30 km. Relative speed of owner = 75 - 60 = 15 km/h. Time to catch thief = 30 / 15 = 2 hours. Overtaking time = 3:00 PM + 2 hours = 5:00 PM.
By 3:00 PM, the thief has driven for 30 minutes (0.5 hours) and covered 60 * 0.5 = 30 km. Relative speed of owner = 75 - 60 = 15 km/h. Time to catch thief = 30 / 15 = 2 hours. Overtaking time = 3:00 PM + 2 hours = 5:00 PM.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A person can row 6 km/h in still water. If the speed of the stream is 2 km/h, how much time will he take to row a distance of 16 km downstream?
Correct Answer: Option A
Explanation:
Downstream speed = 6 + 2 = 8 km/h. Time = Distance / Speed = 16 / 8 = 2 hours.
Downstream speed = 6 + 2 = 8 km/h. Time = Distance / Speed = 16 / 8 = 2 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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Walking at 4/5 of his normal pace, a student is 8 minutes late. Find his usual 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 = 8 minutes. Usual time = 8 * 4 = 32 minutes.
New speed = 4/5 of usual speed => New time = 5/4 of usual time. Difference = 1/4 of usual time = 8 minutes. Usual time = 8 * 4 = 32 minutes.
This question belongs to:
Maths
Time Speed and Distance
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