Question

M/15-5=m/15+5+0.5 what is m the distance between the two communities

a. 0.5 mile
b. 5 miles
c. 10 miles
d. 15 miles

Answer 1

Option C

10 miles

Explanation:

We're given that
`\frac {m}{15-5}=\frac {m}{15+5}+0.5` and the first thing will be to simply the denominators since 15-5=10 and 15+5=20 then the above equation is written as
`\frac {m}{10}=\frac {m}{20}+0.5`

Bringing like terms together then

`\frac {m}{10}-\frac {m}{20}=0.5`

Simplifying then

`\frac {m}{20}=0.5`

By cross multiplication then m=0.5*20=10

Therefore, m=10 miles