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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=1. Since , x=1.

Answer: .

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

A wildlife biologist caught, banded, and released 400 quail at a local quail ranch. One... (answered by stanbon)
A wildlife biologist caught, banded, and released 400 quail at a local quail ranch. One... (answered by ttlpkg32)
A wildlife biologist caught, banded, and released 400 quail at a local quail ranch. One... (answered by checkley77)
The amount of gasoline used by a car varies jointly as the distance traveled and the... (answered by josgarithmetic,MathTherapy)
Hi, I need to show my work, but I have no idea how to complete the problem. Could someone (answered by ewatrrr)
On a recent trip to Walmart, you bought $75.25 worth of goods and paid a total of $82.02. (answered by Fombitz)
I keep getting a negative answer so I'm not doing something right. On the first part of (answered by nerdybill,checkley77)
On a recent trip, Sarah's car traveled 20 mph faster on the first 100 miles than it did... (answered by atif.muhammad)
a student was walking to school. after going 1 kilometer and half of the rest of the... (answered by Theo)