Amanda 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 Amanda swim if there were no current?

Speed of amanda when there is no current is 4 km/hr

Step-by-step explanation:

So amanda swam v km/hr without the current

Speed of current is 2 km/hr

So speed in the direct of current = v+2 km/hr

And speed against the direction of current = v-2 km/hr

It is given that Amanda swam 4 km against the current in the same time as swam 12 km in direct of current , means time is same

We know that time

So

8 v = 32

v = 4 km/hr

So speed of Amanda when there is no current is 4 km/hr