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

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.