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I come up with a new question which I can't express as a differential equation form.

2 cars start on x axis, M at the origin and N at the point (36,0)

Suppose:

M moves along the y axis,

and N moves

**directly toward M**at all times,

and N moves twice as fast as M.

Q) How far will M travel before being caught by N?

I think the trick is in the

**bold**part of the question but I couldn't write it as a D.E as I said before

Thanks for your help.