Final answer:
The construction crew built 3 3/4 miles of road in 1 1/8 days. The unit rate in miles per day is 10/3.
Step-by-step explanation:
To find the unit rate in miles per day, we need to divide the total distance by the total time.
Given that the construction crew built 3 3/4 miles of road in 1 1/8 days, we can convert the mixed numbers to improper fractions:
3 3/4 = (4*3 + 3)/4 = 15/4 miles
1 1/8 = (8*1 + 1)/8 = 9/8 days
Now, divide the distance by the time:
(15/4) miles ÷ (9/8) days = (15/4) miles × (8/9) days = 120/36 miles per day
This can be simplified to (10/3) miles per day.