Alicia finished the race 3.75 seconds befor Kaye. Donna finished the race5.09 seconds after Carmen. Carmen finished the race 10 second before Kaye. Anders finished 4.89 seconds after Kaye. How many seconds earlier did Carmen finish than Anders?

anders-carmen = (anders-kaye) + (kaye-carmen) = 4.89 + 10 = 14.89

Rearranging things a bit, we are told

Carmen finished 10 seconds before Kaye
Kaye finished 4.89 seconds before Anders.

alicia and donna are just noise.

3143

To find out how many seconds earlier Carmen finished the race than Anders, we need to find the time it took for both of them to complete the race and then calculate the difference between their times.

Given information:
- Alicia finished the race 3.75 seconds before Kaye.
- Donna finished the race 5.09 seconds after Carmen.
- Carmen finished the race 10 seconds before Kaye.
- Anders finished 4.89 seconds after Kaye.

Let's proceed step by step:

Step 1: Determine the time it took for Alicia to finish the race.

Since Alicia finished the race 3.75 seconds before Kaye, we can say that Alicia's time is equal to Kaye's time minus 3.75 seconds.

Step 2: Determine the time it took for Carmen to finish the race.

Since Carmen finished the race 10 seconds before Kaye, we can say that Carmen's time is equal to Kaye's time minus 10 seconds.

Step 3: Determine the time it took for Anders to finish the race.

Since Anders finished the race 4.89 seconds after Kaye, we can say that Anders' time is equal to Kaye's time plus 4.89 seconds.

Step 4: Calculate the time difference between Carmen and Anders.

To find the time difference between Carmen and Anders, we need to subtract Anders' time from Carmen's time.

Now that we have determined the timing information, let's calculate the time difference:

Carmen's time = Kaye's time - 10 seconds
Anders' time = Kaye's time + 4.89 seconds

Time difference = Carmen's time - Anders' time

By substituting the expressions for Carmen's and Anders' time, we have:

Time difference = (Kaye's time - 10 seconds) - (Kaye's time + 4.89 seconds)

Notice how Kaye's time cancels out when subtracting. Thus, we have:

Time difference = -10 seconds - 4.89 seconds

Calculating this expression gives us:

Time difference = -14.89 seconds

So, Carmen finished the race 14.89 seconds earlier than Anders.