Choose the answer.
In a race, a bicyclist travels 2/3 of a mile in 1/3 hour. Determine the unit rate for the speed in miles per hour.
Question 10 options:
1/2 mile per hour
1 mile per hour
4/3 miles per hour
2 miles per hour
To determine the unit rate for the speed in miles per hour, we need to divide the distance traveled (2/3 mile) by the time taken (1/3 hour).
Distance (in miles) / Time (in hours) = Speed (in miles per hour)
(2/3 mile) / (1/3 hour) = x miles per hour
To divide fractions, we need to multiply by the reciprocal of the second fraction:
(2/3 mile) * (3/1 hour) = 2 miles per hour
Therefore, the unit rate for the speed in miles per hour is 2 miles per hour.
The correct answer is 2 miles per hour.