- #1

- 19

- 0

## Homework Statement

A train leaves the station at 10:00 and travels due south at a speed of 60 km/h. Another train has been heading due west at 45 km/h and reaches the same station at 11:00. At what time were the two trains closest together?

## Homework Equations

[tex]c^{2}=a^{2}+b^{2}[/tex]

## The Attempt at a Solution

The trouble I am having is the wording of the question. I think it means the trains left from two different stations and will arrive at the same time together at one station. So the equation for that scenario is:

[tex]f(t) = \sqrt{(60-60t)^{2}+(45t)^{2}}[/tex]

However I get a range outside the limit of one hour. I think I'm just confused about he wording if someone can clarify it for me. Any help is appreciated.