Yes, this is a variation of a classic problem.
And there is a back-door approach to its solution.
A baby starts in the center of a circle.
Its mother walks around the edge of the circle.
The baby always crawls directly towards the mother at a speed ,
and the mother always walks at a speed with .
The circle has radius .
How long does it take for the baby to reach its mother?
SInce the baby is always moving directly toward its mother,
. . the mother is neither moving away from nor moving closer to the baby.
It is as if the mother is standing still and the baby is crawling directly to her.
To crawl a distance at a rate of , it will take time units.