Question

You ride your bike x miles per hour up a mountain for 45 minutes. On the way down the mountain, you ride your bike 3 miles per hour faster. It takes 20 minutes to ride your bike down the mountain. How far did you ride your bike in total?

Answer 1

18/5 miles

Explanation:

let d be the mountain dist path

upward biking

x miles - 1 hr

d 45 mins

3x/4 = d

riding down

x+3 - 60 min

d. - 20

(1/3)(x+3) = d

(x+3)/3 = 3x/4

4x+12 = 9x

x = 12/5

d =( 12*3)/(4*5)= 9/5

upward+downward = 2*(9/5) = 18/5