Question

After how many hours will the two trucks be 558 miles apart?

Answer 1

Given:

a.) A truck travels due west at an average speed of 48 miles per hour.

b.) The other truck travels due east at an average speed of 45 miles per hour.

Let's determine how many hours will the two trucks be 558 miles apart.

We will be using the following equation:

Let the two trucks be named Truck A and Truck B.

Let x = the time the two trucks will be 558 miles apart

`\text{ (Speed of Truck A)(x) + (Speed of Truck B)(x) = 558 miles}`

We get,

`\text{ 48x + 45x = 558}`

Let's find x,

`\text{ 48x + 45x = 558}`
`\text{ 93x = 558}`
`\text{ }\frac{\text{93x}}{93}\text{ = }\frac{\text{558}}{93}`
`\text{ x = }6`

Therefore, the two trucks will be 558 miles apart after 6 hours.