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

Answer:

They are 240 kilometers apart.

Step-by-step explanation:

This question can be solved using the following relation:

$v = \frac{d}{t}$

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

$v = \frac{d}{t}$

$80 = \frac{d}{x}$

$d = 80x$

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

This means that when $v = 48, t = x + 2[tex]. So[tex]v = \frac{d}{t}$

$48 = \frac{d}{x+2}$

Since $d = 80x$

$48 = \frac{80x}{x+2}$

Applying cross multiplication

$80x = 48(x + 2)$

$80x = 48x + 96$

$32x = 96$

$x = \frac{96}{32}$

$x = 3$

So the distance is:

$d = 80x = 80*3 = 240$

They are 240 kilometers apart.