Question

Carmen swam 8 kilometers against the current in the same amount of time it took her to swim 16 kilometers with the current. The rate of the current was 1 kilometer per hour. How fast would Carmen swim if there were no current?

Answer 1

3 kph

Explanation:

speed = x kph

(x-1)*t=8; 8/(x-1)= t units are km

(x+1)t=16; 16/(x+1)=t

Set them equal to each other

8/(x-1)=16/(x+1)

cross multiply

8x+8=16x-16

-8x=-24

x=3 kph