The World Problem:

At 9:30am, one ship was 65 miles due east from a second ship. If the first ship sailed west at 20 miles per hour and the second ship sailed southeast at 30 miles per hour, when were they closest together?

What I Have So Far:

1^{st}ship coordinates: (0,0)

2^{nd}ship coordinates: (-65,0)

x^{2}+x^{2}=(30t)^{2}

x = $\displaystyle 15\sqrt{2}t$

Letting time be 't' in hours since 9:30am :

1^{st}ship coordinates: (-20t,0)

2^{nd}ship coordinates: ($\displaystyle -65 + 15\sqrt{2}t, -15\sqrt{2}t$)

Not sure where to go where to go from here... Can anyone help me out?