SOLUTION: Distance and time: Two athletes are jogging in the same direction along an exercise path. After x minutes the first athletes distance in miles from a parking lot is given by 1/6x a

Question 404271: Distance and time: Two athletes are jogging in the same direction along an exercise path. After x minutes the first athletes distance in miles from a parking lot is given by 1/6x and the second athletes distance is given by 1/8x + 2.
(a) When are the athletes the same distance from the parking lot?
(b) When is the first athlete farther away from the parking lot than the second?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two athletes are jogging in the same direction along an exercise path.
After x minutes the first athletes distance in miles from a parking lot is
given by x and the second athletes distance is given by x + 2.
:
(a) When are the athletes the same distance from the parking lot?
x = x + 2
x - x = 2
Common denominator is 24
x - x = 2
x = 2
Multiply both sides by 24
1x = 24(2)
x = 48 minutes
:
We can check this:
(48) = (48) + 2
:
:
(b) When is the first athlete farther away from the parking lot than the second?
x > 2
x > 48 minutes, Say 49 minutes
(49) = 8.167 mi
(49) + 2 = 8.125 mi
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