SOLUTION: Frank swam 8 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The rate of the current was 1 kilometer per ho

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Question 1056629: Frank swam
8
kilometers against the current in the same amount of time it took him to swim
16
kilometers with the current. The rate of the current was
1
kilometer per hour. How fast would Frank swim if there were no current?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
This is too typical a type of problem. Same time, traveled in two opposite directions, a current present. 
               SPEED     TIME     DISTANCE

AGAINST         r-c        t       a

WITH            r+c        t       w

Everything is known except r and t.

a%2F%28r-c%29=w%2F%28r%2Bc%29------the basic equation to solve for the situation. You want to solve this for r.


Once that is done, remember the variable assignments.
system%28c=1%2Ca=8%2Cw=16%29
Use those and evaluate r.