# Jon leaves his house for a business trip driving at a rate of 45 miles per hour. Half an hour later his wife, Emily, realizes he forgot his cell phone and begins to follow him at a rate of 55 miles per hour. How long will it take for Emily to catch Jon?

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We're looking for the point where Jon and Emily have travelled the same distance.

Let's say that Jon travels for time

Emily travels faster, at 55 mph, but she does travel for so long. She travels for

That gives us:

(we know it's minutes because I used

So Jon travels 165 minutes, or

Emily, for her part, travelled for

Pity Emily - she still has to drive home...

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