SOLUTION: On a recent trip to the Cuyabeno Wildlife Reserve in the Amazon region of Ecuador, a 100-kilometer trip by speedboat was taken down the Aguarico River from Chiritza to the Flotel O

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Question 748350: On a recent trip to the Cuyabeno Wildlife Reserve in the Amazon region of Ecuador, a 100-kilometer trip by speedboat was taken down the Aguarico River from Chiritza to the Flotel Orellana. As I watched the Amazon unfold, I wondered how fast the speedboat was going and how fast the current of the white-water Aguarico River was. I timed the trip downstream at 2.5 hours and the return trip at 3 hours. What were the two speeds?

Answer by annaryan123(1) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+2%2C%0D%0A++++1%5Cx+%2B+-1%5Cy+=+0+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
1%2Ax+=+2+-+1%2Ay, or x+=+2%2F1+-+1%2Ay%2F1. Substitute that
into another equation:
1%2A%282%2F1+-+1%2Ay%2F1%29+%2B+-1%5Cy+=+0 and simplify: So, we know that y=1. Since x+=+2%2F1+-+1%2Ay%2F1, x=1.

Answer: system%28+x=1%2C+y=1+%29.

boat = 36.66 km / hr
current =3.33 km/hr