Sean is driving to visit his friend in another state. in the first hour, he travels 1/5 of the total distance. second hour he travels 34miles. if he has 194 more miles to go, how far apart do the friends live?

The friends live 285 miles apart.

Step-by-step explanation:

Let total distance in miles Sean needs to cover to visit his friend be =

On first hour distance traveled in miles is =

Distance left to cover  after first hour =

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 = = 228 miles

Thus, the equation can be given as:

⇒

Multiplying each term with 5 to remove fractions.

⇒

⇒

⇒

Dividing both sides by 4.

⇒

∴

Thus, the friends live 285 miles apart.