Answer:
2 2/5 ( or 2.4) miles.
Step-by-step explanation:
Your speed up the mountain =
x = distance /time = d/ 3/4 where d is the distance travelled up the mountain. ( its 3/4 because 45 minutes = 3/4 hour).
Coming down the mountain your speed
= x + 2 = d / 1/3 (the distance is also d travelling down).
Simplifying the 2 equations:
x = 4d/3
x + 2 = 3d
Substituting x = 4d/3 in the fist equation>
4d/3 + 2 = 3d
Multiply through by 3
4d + 6 = 9d
6 = 5d
d = 6/5 miles.
The total distance you rode = 2 * 6/5
= 12/5
= 2 2/5 miles.
