Final answer:
To find the unit rate, which is the average speed, convert the mixed fractions to improper fractions and divide: 37 2/3 miles in 1 1/3 hours equals 28.25 miles per hour.
Step-by-step explanation:
To calculate the unit rate of Gragham's drive, which refers to the average speed, we divide the distance traveled by the time taken. Gragham drove 37 2/3 miles in 1 1/3 hours. First, we need to express these mixed numbers as improper fractions:
- 37 2/3 miles = (37 × 3 + 2) / 3 = 113/3 miles
- 1 1/3 hours = (1 × 3 + 1) / 3 = 4/3 hours
Now, calculate the unit rate:
Unit Rate (average speed) = Distance / Time = (113/3) / (4/3) miles per hour
By multiplying by the reciprocal, we get:
Unit Rate (average speed) = (113/3) × (3/4) = 113/4 = 28.25 miles per hour
Therefore, Gragham's average speed was 28.25 miles per hour.