Laurie and Anna are running a 3 mile race. After 5 minutes, Laurie has run 3/5 miles and Anna has run 7/10 mile. If both ladies can keep their same pace for the remainder of the race, how many minutes ahead of Laurie will Anna cross the finish line?

To find out how many minutes ahead of Laurie Anna will cross the finish line, we need to determine the time it takes for each person to complete the remaining distance of the race.

First, let's calculate the distance that Laurie has left to run. Since she has already run 3/5 miles, she has 1 - 3/5 = 2/5 miles left.

Similarly, Anna has 1 - 7/10 = 3/10 miles left to run.

Next, we need to calculate the time it takes for each person to run the remaining distance at their respective paces.

Let's start with Laurie:
We know she has 2/5 miles left to run. Since she has already run 3 miles in 5 minutes, her pace is 3 miles / 5 minutes = 3/5 miles per minute. Therefore, it will take Laurie (2/5 miles) / (3/5 miles per minute) = (2/5) * (5/3) minutes = 2/3 minutes to complete the remaining distance.

For Anna:
We know she has 3/10 miles left to run. Her pace is 7/10 miles / 5 minutes = 7/50 miles per minute. Therefore, it will take Anna (3/10 miles) / (7/50 miles per minute) = (3/10) * (50/7) minutes = 15/7 minutes to complete the remaining distance.

Now, let's find the time difference between Anna and Laurie.
Anna will cross the finish line 15/7 - 2/3 = (45 - 14)/21 = 31/21 minutes ahead of Laurie.

So, Anna will cross the finish line 31/21 minutes ahead of Laurie.

L runs 3/5 mile/5 min = 3/25 mile/min

3 mile /3/25 mi/min = 25 min

A runs7/10 / 5 = 7/50 mile/min

3 mile/ 7/50 = 150/7 = 21.4 min

25 - 21.4 = 3.6 min