Algebra help needed with an equation

Algebra
Tutor: None Selected Time limit: 1 Day

Camille can swim against the current at 1.5 m/s and with the current at 3.5m/s.Write an equation that expresses each fact .How fast can she swim in still water ?

Nov 5th, 2015

Thank you for the opportunity to help you with your question!

When you are swimming (or rowing or flying or whatever), against / with a current, your total speed is caused by two things : the rate you are propelling yourself (what you could do in still water) and the rate the current is moving.  When you are swimming with the current, the current increases your speed.  When you are swimming against the current, the current reduces your speed.

So, lets call the rate that you can swim in the water S and the rate the current moves C.

Against the current:  S - C = 1.5 m/s

With the current: S + C = 3.5 m/s

And now we can solve those two equations like any other system of equations.  Start by adding the two equations together.

2S = 5 m / s

Solve for S

S = 5 / 2 = 2.5 m/s

You could then also solve for C if you needed to.

2.5 - C = 1.5

C = 1 m/s

So we have determined that the swimmer would be able to swim at 2.5 m / s in still water.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 5th, 2015

that answer is actually incorrect it is 4


Nov 6th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Nov 5th, 2015
...
Nov 5th, 2015
Dec 10th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer