I'm having trouble with the following problem:
Tom starts running towards a park which is at $800$m from him at speed $20$ m/s. Kate who starts running with Tom at $25$ m/s goes back and forth between park and Tom until Tom reaches the park.
Find total distance covered by Kate.
I calculated the sum until Tom and Kate meet each other the second time, and I get the total distance covered by Kate until that time to be $800+88.9+88.9$.
However after that the calculations become too complex. Is there any other way to do this?