SOLUTION: A boat travels 40 kilometers upriver and then returns to its starting place. If the entire trip takes 1 hour and 48 minutes and the speed of the current is 5 kilometers per hour, f

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Question 966615: A boat travels 40 kilometers upriver and then returns to its starting place. If the entire trip takes 1 hour and 48 minutes and the speed of the current is 5 kilometers per hour, find the speed of the boat in still water.
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
RT=D basic rule

___________________rate___________time___________distance
UUPP_______________r-c____________u______________d
DOWN_______________r+c____________b______________d
Total_____________________________t

r,u,b, are unknown.

c=5
t=1+4/5
d=40

Make the system of three equations.

----
You might make the system smaller near the start if you first use the time sum equation: , and then
, and you then will have this system:

;
and the unknown variables are r and b.

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