In a 500-meter dash trial heat, runner A clocks across the tape in 50 seconds, while runner B marks a finish layout in 55 seconds. By what distance does runner A beat runner B? MCQ with Answer and Explanation
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Question #1
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A person walks from his home to his shop at a speed of 5 km/h and arrives 6 minutes early. If he walks at 4 km/h, he arrives 6 minutes late. Find the distance between his home and shop.
Correct Answer: Option C
Explanation:
Time difference = 6 - (-6) = 12 minutes = 12/60 = 1/5 hour. Let distance be d. d/4 - d/5 = 1/5 => d/20 = 1/5 => d = 4 km.
Time difference = 6 - (-6) = 12 minutes = 12/60 = 1/5 hour. Let distance be d. d/4 - d/5 = 1/5 => d/20 = 1/5 => d = 4 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A person row a boat 16 km upstream in 4 hours. If the speed of the current is 1 km/h, find the speed of the boat in still water.
Correct Answer: Option B
Explanation:
Upstream speed = 16 / 4 = 4 km/h. Upstream Speed = Speed in still water - Current speed => 4 = Speed in still water - 1 => Speed in still water = 5 km/h.
Upstream speed = 16 / 4 = 4 km/h. Upstream Speed = Speed in still water - Current speed => 4 = Speed in still water - 1 => Speed in still water = 5 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A boat crew row a boat 36 km downstream in 4 hours and tracks the identical loop back upstream in 6 hours. Find the baseline speed of the boat in still water.
Correct Answer: Option B
Explanation:
Downstream tracking speed = 36 / 4 = 9 km/h. Upstream tracking speed = 36 / 6 = 6 km/h. Speed in still water = (9 + 6) / 2 = 15 / 2 = 7.5 km/h.
Downstream tracking speed = 36 / 4 = 9 km/h. Upstream tracking speed = 36 / 6 = 6 km/h. Speed in still water = (9 + 6) / 2 = 15 / 2 = 7.5 km/h.
This question belongs to:
Maths
Time Speed and Distance
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