Final answer:
Tatiana can run approximately 1.83 miles in 1/3 of an hour by multiplying her speed of 5 1/2 miles per hour by 1/3.
Step-by-step explanation:
Tatiana can run 5 1/2 miles in one hour. To find out how far she can run in 1/3 of an hour, we'll multiply her speed by the fraction of the hour she is running:
Distance = Speed × Time
Distance = (5 + ½) miles/hour × ⅓ hour = ⅓ × ⅖ miles/hour
Distance = ⅓ × (½ + 5) miles
Distance = ⅓ × ⅖ miles
To simplify, we convert ⅖ into a decimal which is 5.5. Then we multiply:
Distance = ⅓ × 5.5 miles
Distance = ⅓ × 5.5 miles
Distance = 1.833… miles
Therefore, Tatiana can run approximately 1.83 miles in 1/3 of an hour.