We know that distance = rate x time
We know Anne walks at a rate of 6 ft/s and Mary walks at a rate of 8 ft/s
1 min = 60 sec, and Anne started walking 60 sec prior to Mary
If the amount of time Mary walked is x, then the amount of time that Anne walked is (x + 60)
Since we want to know when the two girls walked the same distance, we can form the following equation using the formula for distance
8x = 6(x + 60)
8x = 6x + 360
2x = 360
x = 180
So Mary walked for 180 sec and Anne walked for x + 60 = 180 + 60 = 240 sec