LMAO...
Sheeit man it ain't that hard. Takes 2 min with a calculator.
I ain't no Einstein.
Here's how to get the answer.
If the dog meets the man at a halfway point each (round) trip.
The dog goes 15 mi for each 5 mi the man does.
The towns are 10 mi apart.
1st trip dog meets man @ 5mi the man has 5mi to go
2nd trip dog meets man @ 7.5 (5+2.5 mi ) the man has 2.5 mi to go
3rd trip 8.75 (5+2.5+1.25 mi )
4th trip 9.375 (5+2.5+1.25 +.625 mi) and so on.
If you can see you just divide 2 into the remainder each time
Average dog is 1ft for an ankle biter to around 3 ft or so.
Well use 1 ft for example. 1 mi is 5280 ft. divide 5280 into one you get dog length in miles. around .00019 mi
Keep dividing 2 into the remainder until you get below the length of the dog this is where the little ankle biter can't make any more trips.
This happens between 15 and 16 trips.
You want some Einstein shit what's the number of trips if the dog has no dimension (length) he he he...