SOLUTION: Laura swam 4 kilometers against the current in the same amount of time it took her to swim 12 kilometers with the current. The rate of the current was 2 kilometers per hour. How fa

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Laura swam 4 kilometers against the current in the same amount of time it took her to swim 12 kilometers with the current. The rate of the current was 2 kilometers per hour. How fa      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 921909: Laura swam 4 kilometers against the current in the same amount of time it took her to swim 12 kilometers with the current. The rate of the current was 2 kilometers per hour. How fast would Laura swim if there was no current?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Laura swam 4 kilometers against the current in the same amount of time it took her to swim 12 kilometers with the current. The rate of the current was 2 kilometers per hour. How fast would Laura swim if there was no current?
***
let x=laura's swim rate with no current
x+2=laura's swim rate with current
x-2=laura's swim rate against current
travel time=distance/rate
..
4/(x-2)=12/(x+2)
12x-24=4x+8
8x=32
x=4
How fast would Laura swim if there was no current? 4 km/hr