Answer:
Neighborhoods that sheriff patrol in 5/8 of an hour is 3.125.
Step-by-step explanation:
The Time taken to patrol an entire neighborhood = 3/ 15 hour
Total amount of time, the Sheriff has to do patrolling = 5/ 8 of an hour.
Now, let us assume the total neighborhoods paroled in the given time = m
So, [tex]\textrm{ Number of neighborhoods patrolled} = \frac{\textrm{Total available time}}{\textrm{Time used in 1 paroling 1 neighborhood}}[/tex]
[tex]m = \frac{\frac{5}{8} }{\frac{3}{15} } = {\frac{5}{8} \times {\frac{15}{3} =3.125[/tex]
or, the number of neighborhoods covered = 3.125
Hence, neighborhoods that sheriff patrol in 5/8 of an hour is 3.125.