Question

A sheriff patrols several neighborhoods in her patrol car it requires 3/15 of an hour to patrol an entire neighborhood how many neighborhoods can the sheriff patrol in 5/8 of an hour

Answer 1

Neighborhoods that sheriff patrol in 5/8 of an hour is 3.125.

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,
`\textrm{ Number of neighborhoods patrolled}  = \frac{\textrm{Total available time}}{\textrm{Time used in 1 paroling 1 neighborhood}}`

`m = ((5)/(8) )/((3)/(15) )   = {(5)/(8) * {(15)/(3)  =3.125`

or, the number of neighborhoods covered = 3.125

Hence, neighborhoods that sheriff patrol in 5/8 of an hour is 3.125.