A school has a hurdle track that is 1/5 of a mile long. They are considering extending the track to be 1/4 of a mile long.
The committee wants to know the unit rate of length in the longer track per mile of length in the shorter track to make sure they have enough hurdles for the longer track. What is the unit rate?
To find the unit rate, we need to divide the length of the longer track by the length of the shorter track.
Length of longer track = 1/4 mile
Length of shorter track = 1/5 mile
Unit rate = (Length of longer track) / (Length of shorter track)
Unit rate = (1/4) / (1/5)
Unit rate = (1/4) * (5/1)
Unit rate = 5/4
Therefore, the unit rate of length in the longer track per mile of length in the shorter track is 5/4.