Malia runs twice as fast as Eileen. If Malia and Eileen start from the same point and run around a circular track in opposite directions, how many times will they pass each other if they stop when Malia completes her sixth lap?

I figured 9 times. Is that correct?

To determine how many times Malia and Eileen will pass each other, we can follow a step-by-step approach:

Step 1: Determine the speed ratio
Since Malia runs twice as fast as Eileen, their speed ratio is 2:1. This means that for every two laps Malia completes, Eileen completes one lap.

Step 2: Calculate the number of times they pass each other per lap
When two objects move in opposite directions on a circular track, they pass each other twice per lap. This applies to Malia and Eileen as well.

Step 3: Calculate the number of times they pass each other per Malia's laps
Since Malia completes six laps, we can multiply the number of times they pass each other per lap by the number of Malia's laps. In this case, 6 multiplied by 2 gives us 12 times.

So, according to the calculations, Malia and Eileen will pass each other 12 times, not 9 times.