Eliana swam at 3 1/2 miles per hour for 1/4 an hour. How many miles did she travel ( DO NOT include label)?

To find the distance Eliana traveled, we multiply her speed, 3 1/2 miles per hour, by her time, 1/4 of an hour: 3 1/2 miles/hour * 1/4 hour = <<3.5*1/4=0.875>>0.875 miles. Answer: \boxed{0.875}.