Question

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police

station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police

station and the fire station?

1 mile

3 miles

4 miles

6 miles

Answer 1

the answer would be 4 miles apart

Explanation:

Answer 2

Option 3 - 4 miles

Explanation:

Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles.

To find : How far apart are the police station and the fire station?

Solution :

Let the distance between police station and fire station be 'x'.

The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.

i.e.
`2x-3`

The distance between the library and the police station is 5 miles.

i.e.
`2x-3=5`

`2x=5+3`

`2x=8`

`x=4`

Therefore, The police and fire stations is 4 miles apart.

So, Option 3 is correct.