SOLUTION: antonio paddles 1 mile upstream and 1 mile back in the total time of 1 hour. The speed of the river is 2 miles per hour. Find the speed of Antonios paddleboat in still water?

Question 923062: antonio paddles 1 mile upstream and 1 mile back in the total time of 1 hour. The speed of the river is 2 miles per hour. Find the speed of Antonios paddleboat in still water?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
antonio paddles 1 mile upstream and 1 mile back in the total time of 1 hour. The speed of the river is 2 miles per hour. Find the speed of Antonios paddleboat in still water?
***
let x=speed of paddleboat in still water
x+2=speed of paddleboat downstream
x-2=speed of paddleboat upstream
travel time=distance/speed

lCd:(x+2)(x-2)
x+2+x-2=(x+2)(x-2)
2x=x^2-4
x^2-2x-4=0
solve for x using quadratic formula:

a=1, b=-2, c=-4

x=1�√5
x≈3.23
speed of Antonios paddleboat in still water? 3.23 mph
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