Question

An express train travels 80km/h from Ironton to Wildwood. A local train, traveling at 48km/h, takes 2 hours longer for the same trip. How far apart are Ironton and Wildwood?

Answer 1

They are 240 kilometers apart.

Explanation:

This question can be solved using the following relation:

`v = (d)/(t)`

In which v is the velocity, d is the distance and t is the time.

An express train travels 80km/h from Ironton to Wildwood.

Here we have
`v = 80, t = x`. So

`v = (d)/(t)`

`80 = (d)/(x)`

`d = 80x`

A local train, traveling at 48km/h, takes 2 hours longer for the same trip.

This means that when
`v = 48, t = x + 2[tex]. So</p><p>[tex]v = (d)/(t)`

`48 = (d)/(x+2)`

Since
`d = 80x`

`48 = (80x)/(x+2)`

Applying cross multiplication

`80x = 48(x + 2)`

`80x = 48x + 96`

`32x = 96`

`x = (96)/(32)`

`x = 3`

So the distance is:

`d = 80x = 80*3 = 240`

They are 240 kilometers apart.