Two people start jogging at the same point and time but in opposite directions. if the rate of one jogger is 2 mph faster than the other and after 3 hours they are 30 miles apart, what is the rate of the faster jogger
a 3
b 4
c 5
d 6
e 7

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

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: