Final answer:
Lindsey will run 10 miles in 75 minutes.
Step-by-step explanation:
To find how many miles Lindsey will run in 75 minutes, we can set up a proportion using the given information. We know that Lindsey runs 4 miles in 30 minutes. Let x be the number of miles she runs in 75 minutes.
So, we can set up the proportion: 4 miles / 30 minutes = x miles / 75 minutes.
To solve for x, we can cross multiply: 4 * 75 = 30 * x.
Divide both sides by 30: (4 * 75) / 30 = x miles.
Simplify: 10 miles = x miles.
Therefore, Lindsey will run 10 miles in 75 minutes.
Lindsey runs at a pace of 4 miles in 30 minutes. To find how many miles she will run in 75 minutes, we need to calculate her running pace per minute and then multiply that by 75 minutes. Lindsey's pace is 4 miles / 30 minutes which simplifies to 0.1333 miles per minute. Multiplying this pace by 75 minutes gives us:
0.1333 miles/minute * 75 minutes = 10 miles.
Hence, Lindsey will run 10 miles if she runs for 75 minutes.