Question

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?

Answer 1

The friends live 285 miles apart.

Explanation:

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

On first hour distance traveled in miles is =
`(1)/(5)\ of\ the\ total\ distance = (1)/(5).(x)=(1)/(5)x`

Distance left to cover after first hour =
`x-(1)/(5)x`

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 =
`34\ miles+194\ miles` = 228 miles

Thus, the equation can be given as:

⇒
`x-(1)/(5)x=228`

Multiplying each term with 5 to remove fractions.

⇒
`5x-5.(1)/(5)x=5*228`

⇒
`5x-x=5*228`

⇒
`4x=1140`

Dividing both sides by 4.

⇒
`(4x)/(4)=(1140)/(4)`

∴
`x=285`

Thus, the friends live 285 miles apart.