Final answer:
Roger's speed is 1.5 miles per hour.
Step-by-step explanation:
To find Roger's speed in miles per hour, we need to convert his current speed from miles per 1/2 hour to miles per hour. Since there are 2 halves in 1 hour, we can multiply his speed by 2 to get his speed in miles per hour.
Speed in miles per hour = (3/8 mile / (1/2 hour)) * 2 = 3/8 mile * 2 / (1/2 hour) = 3/8 mile * 4 / 1 hour = 12/8 mile / 1 hour = 1.5 miles per hour
Therefore, Roger's speed is 1.5 miles per hour, which is option d) in the question.