Question
Download Solution PDFA man wishes to cover 1 km distance in river water. In still water he takes 12 minutes to cover it, but in the flowing river he takes 13 minutes. The speed of the flowing water of the river is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance = 1 km
Time in still water = 12 minutes
Time in flowing water = 13 minutes
Concept Used:
Speed = Distance / Time
Formula Used:
Speed in still water = Distance / Time in still water
Speed in flowing water = Distance / Time in flowing water
Speed of river flow = Speed in flowing water - Speed in still water
Calculation:
Speed in still water = 1 km / 12 minutes = 1 km / (12/60 hours) = 1 km / 0.2 hours = 5 km/h
Speed in flowing water = 1 km / 13 minutes = 1 km / (13/60 hours) = 1 km / 0.2167 hours ≈ 4.615 km/h
⇒ Speed of river flow = Speed in still water - Speed in flowing water
⇒ Speed of river flow = 5 km/h - 4.615 km/h
⇒ Speed of river flow ≈ 0.385 km/h
⇒ Speed of river flow ≈ (5/13) km/h
∴ The speed of the flowing water of the river is (5/13) km/h.
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