SOLUTION: DIRECTIONS: USE THE STEPS FOR SOLVING A SYSTEM OF LINEAR EQUATIONS OR INEQUALITIES TO ANSWER THE QUESTIONS..... 1.) Sam paddles his canoe upstream, AGAINST the current, for 1

Question 80106: DIRECTIONS: USE THE STEPS FOR SOLVING A SYSTEM OF LINEAR EQUATIONS OR INEQUALITIES TO ANSWER THE QUESTIONS.....

1.) Sam paddles his canoe upstream, AGAINST the current, for 12 miles. It takes him 2 hours. Coming back downstream, WITH the current, he covers the same distance in only an hour. How fast can Sam paddle his canoe in still water? How fast is the current?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sam paddles his canoe upstream, AGAINST the current, for 12 miles. It takes him 2 hours. Coming back downstream, WITH the current, he covers the same distance in only an hour. How fast can Sam paddle his canoe in still water? How fast is the current?
--------------
Let the current speed be "c"
Let the boat speed be "b"
Speed = distance/time
------------
EQUATIONS:
b-c=12/2
b+c=12/1
---------
b-c=6
b+c=12
----------
Add the two equations to get:
2b=18
b=9 mph (speed of the boat in still water)
Then, b+c=12; c=3 mph (speed of the current)
================
Cheers,
Stan H.
RELATED QUESTIONS
WHat are the steps to solving linear equations and... (answered by elima)

What is the difference, if any, between solving a system of linear equations and solving... (answered by nabla)

Solving Linear Equations: Use linear combinations to solve the system of linear... (answered by ntnk)

Together Fred, Sam, and Joe have $31. Use a system of equations to find the amount of... (answered by ankor@dixie-net.com)

The directions were to... Use a system of linear equations to... (answered by stanbon)

What are the steps for solving this problem: Solve the linear system of equations-... (answered by jim_thompson5910)

Solving Linear Systems: Use linear combinations to solve the system of linear equations. (answered by priya_2685)

Graph the solution of the system of linear inequalities. x+y>1 x-y<7 Use the... (answered by Fombitz)

Use a system of linear equations for the following question: A freight train and a... (answered by rothauserc)