Respuesta :
Answer:
The friends live 285 miles apart.
Step-by-step explanation:
Let total distance in miles Sean needs to cover to visit his friend be = [tex]x[/tex]
On first hour distance traveled in miles is = [tex]\frac{1}{5}\ of\ the\ total\ distance = \frac{1}{5}.(x)=\frac{1}{5}x[/tex]
Distance left to cover after first hour = [tex]x-\frac{1}{5}x[/tex]
On second hour distance traveled = 34 miles
Distance to still left to be covered = 194 miles
Total distance to be covered after first hour will be = [tex]34\ miles+194\ miles[/tex] = 228 miles
Thus, the equation can be given as:
⇒ [tex]x-\frac{1}{5}x=228[/tex]
Multiplying each term with 5 to remove fractions.
⇒ [tex]5x-5.\frac{1}{5}x=5\times228[/tex]
⇒ [tex]5x-x=5\times228[/tex]
⇒ [tex]4x=1140[/tex]
Dividing both sides by 4.
⇒ [tex]\frac{4x}{4}=\frac{1140}{4}[/tex]
∴ [tex]x=285[/tex]
Thus, the friends live 285 miles apart.
