Answer:
D: 6
Step-by-step explanation:
Let x mph be the rate of the faster jogger
Therefore (x-2) mph is the rate of the slower jogger
After 3 hours faster jogger will be 3x miles from the starting point
Whereas after the 3 hours slower jogger will be 3(x-2) miles from the starting point but in the opposite direction.
Since they are 30 miles apart 3x+3(x-2)=30
3x+3x-6=30
⇒ 3x+3x=30 +6
⇒ 6x=36
⇒ x=6
Therefore the rate of the faster jogger = 6 mph
