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 h our faster. It takes 20 minutes to ride your bike down the mountain. How far did you ride your bike in total?
1 answer:
Answer:
18/5 miles
Step-by-step 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
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