SOLUTION: Latoya swam 5 kilometers against the current in the same amount of time it took her to swim 15 kilometers with the current. The rate of the current was 2 kilometers per hour. How

Question 1039013: Latoya swam 5 kilometers against the current in the same amount of time it took her to swim 15 kilometers with the current. The rate of the current was 2 kilometers per hour. How fast would Latoya swim if there were no current?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = her speed in the water with no current
in km/hr
Let = her time in hrs for swimming either
5 km or 15 km
---------------------------
Equation for swimming against the current:
(1)
Equation for swimming with the current:
(2)
-----------------------
(1)
Substitute (1) into (2)
(2)
Multiply both sides by
(2)
(2)
(2)
(2)
----------------
Her speed swimming with no current is 4 km/hr
----------------
check answer:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
OK
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