Question 886481: The rate of a river's current is 2 mph. A rowing crew can row 10mi down the river and back in 4 hours. Find the rowing rate in calm water. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! The rate of a river's current is 2 mph. A rowing crew can row 10mi down the river and back in 4 hours. Find the rowing rate in calm water.
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let x=rate of rowoat in calm waters
x+2=rate of rowboat downstream
x-2=rate of rowboat upstream
travel time =distance/rate
lcd:(x+2)(x-2)
10(x-2)+10(x+2)=4(x+2)(x-2)
10x-20+10x+20=4(x^2-4)
20x=4x^2-16
4x^2-20x-16=0
x^2-5x-4=00.70
solve for x by quadratic formula
a=2, b=-20, c=2
ans:
x≈-0.70 (reject)
or
x≈5.7
rowing rate in calm water≈5.7 mph
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