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

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 = $x$

On first hour distance traveled in miles is = $\frac{1}{5}\ of\ the\ total\ distance = \frac{1}{5}.(x)=\frac{1}{5}x$

Distance left to cover  after first hour = $x-\frac{1}{5}x$

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:

⇒ $x-\frac{1}{5}x=228$

Multiplying each term with 5 to remove fractions.

⇒ $5x-5.\frac{1}{5}x=5\times228$

⇒ $5x-x=5\times228$

⇒ $4x=1140$

Dividing both sides by 4.

⇒ $\frac{4x}{4}=\frac{1140}{4}$

∴ $x=285$

Thus, the friends live 285 miles apart.