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Stolb23 [73]
3 years ago
14

Nicholas paddles his canoe downstream from the lodge to the park in 44 hours and then back upstream to the lodge in 55 hrs. If t

he distance from the lodge to the park is 3030 ​miles, find​ Nicholas' speed in still water and the speed of the current.
Physics
1 answer:
grandymaker [24]3 years ago
8 0

Answer:

Nicholas' speed: 61.9772 miles/hour

current's speed: 6.8864 miles/hour

Explanation:

Let's call Nicholas's speed "x", and the current speed "y".

Going downstream, the total speed is x+y, and we can formulate the equation:

(x+y)*44 = 3030 -> x+y =  68.8636 miles/hour

Going upstream, the total speed is x-y, and we can formulate the equation:

(x-y)*55 = 3030 -> x-y =  55.0909 miles/hour

If we sum both equations, we have that:

2x = 123.9545

x = 61.9772 miles/hour

Now, to know the current speed, we just apply "x" value in one of the equations:

x+y = 68.8636 -> 61.9772 + y = 68.8636 -> y = 6.8864 miles/hour

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