A field surveyor walking at 4 km/h handles a regular sector. If he steps up to run at 8 km/h, he takes 30 minutes less across the course stretch. Find the absolute distance profile. MCQ with Answer and Explanation
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Question #1
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A man rows upstream 13 km and downstream 28 km, taking 5 hours each time. Find the speed of the stream.
Correct Answer: Option A
Explanation:
Upstream speed = 13 / 5 = 2.6 km/h. Downstream speed = 28 / 5 = 5.6 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (5.6 - 2.6) / 2 = 3 / 2 = 1.5 km/h.
Upstream speed = 13 / 5 = 2.6 km/h. Downstream speed = 28 / 5 = 5.6 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (5.6 - 2.6) / 2 = 3 / 2 = 1.5 km/h.
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Maths
Time Speed and Distance
Question #2
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A person walks from his house to office at 5 km/h and arrives 10 minutes late. If he walks at 6 km/h, he arrives 4 minutes late. Find the distance.
Correct Answer: Option C
Explanation:
Time difference = 10 - 4 = 6 minutes = 6/60 = 0.1 hours. Let distance be d. d / 5 - d / 6 = 0.1 => d / 30 = 0.1 => d = 3 km.
Time difference = 10 - 4 = 6 minutes = 6/60 = 0.1 hours. Let distance be d. d / 5 - d / 6 = 0.1 => d / 30 = 0.1 => d = 3 km.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A motorboat rows 24 km downstream in 3 hours and tracks the identical route upstream back to the jetty point in 4 hours. Find the net speed index of the current stream flow.
Correct Answer: Option B
Explanation:
Downstream speed = 24 / 3 = 8 km/h. Upstream speed = 24 / 4 = 6 km/h. Speed of current stream flow = (8 - 6) / 2 = 2 / 2 = 1.0 km/h.
Downstream speed = 24 / 3 = 8 km/h. Upstream speed = 24 / 4 = 6 km/h. Speed of current stream flow = (8 - 6) / 2 = 2 / 2 = 1.0 km/h.
This question belongs to:
Maths
Time Speed and Distance
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