Question
A boat takes 9 hrs to travel 144 km downstream. The
speed of the boat downstream is 2 times the speed of the boat upstream. What is the speed of the current?Solution
Distance downstream = 144 km Time = 9 hr Downstream speed = 144/9 = 16 km/hr Given: Downstream speed = 2 × Upstream speed So, Upstream speed = 16/2 = 8 km/hr Let boat speed in still water = b Let current speed = c Then, b + c = 16 b - c = 8 Adding both equations: 2b = 24 b = 12 Now, c = 16 - 12 = 4 km/hr
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