In other words, the question is asking us how long it will take A to lap B for the first time.

Since laps the only unit of measurement, let's convert each person's speed to laps per minute.
If A can run 1 lap in 8 minutes, then A's rate is 1/8 laps per minute.
If B can run 1 lap in 15 minutes, then B rate is 1/15 laps per minute.

When A laps B for the first time, A will have traveled 1 lap further than B has, so let's start with the following word equation: (number of laps traveled by A) = (number of laps traveled by B) + 1
Distance = (rate)(t).
If we let t = the travel time for each runner, we can plug our values into the word equation to get: (1/8)(t) = (1/15)(t)) + 1
Eliminate the fractions by multiplying both sides of the equation by 120 (the LCM of 8 and 15) to get: 15t= 8t + 120
This becomes: 7t= 120
And then: t= 120/7 (minutes)

Answer: B