Question
A boat takes 4 hours to travel a distance of '4D' km
upstream. However, it covers a distance of (4D + 8) km downstream in just 2 hours. Given that the boat's speed in still water is 8 km/h, determine the value of 'D'.Solution
Speed of boat in upstream = (4D/4) = 'D' km/h
Speed of boat in downstream = {(4D + 8)/2} = (2D + 4) km/h
So, speed of boat in still water = {(speed of boat in upstream) + (speed of boat in downstream)}/2
So, {D + (2D + 4)}/2 = 8
Or, 3D + 4 = 16
Or, 3D = 12
Or, D = 4
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