Final answer:
Heather walks 5/6 of a mile in one hour at this pace.
Step-by-step explanation:
To find how far Heather walks in one hour at the given pace, we need to determine the distance she walks in a fraction of an hour and then multiply it by the reciprocal of that fraction.
Heather walked 1/3 of a mile in 2/5 of an hour. To find the distance she walks in one hour, we can set up a proportion:
(1/3) mile / (2/5) hour = x mile / 1 hour
To solve the proportion, we can cross-multiply:
1/3 * 1 hour = (2/5) * x mile
Simplifying:
1/3 hour = (2/5) * x mile
Multiplying both sides by the reciprocal of (2/5):
(1/3 hour) * (5/2) = x mile
Calculating:
5/6 hour = x mile
Therefore, Heather walks 5/6 of a mile in one hour at this pace.