Choose the answer.

Question

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

Answer 1

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.