SOLUTION: Paul made a round trip between two points A and B in 8 hours. His speed going up is 9 mph . His speed going down is 18 mph . His speed going on a level surface 12 mph . What is the

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Question 698395: Paul made a round trip between two points A and B in 8 hours. His speed going up is 9 mph . His speed going down is 18 mph . His speed going on a level surface 12 mph . What is the distance in miles between A and B?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Paul made a round trip between two points A and B in 8 hours.
His speed going up is 9 mph . His speed going down is 18 mph .
His speed going on a level surface 12 mph.
What is the distance in miles between A and B?
:
let h = the distance of the hill
let f = the distance of the level surface
:
Write a time equation, time = dist/speed
:
up + lev + lev return + down = 8 hrs
h%2F9 + f%2F12 + f%2F12 + h%2F18 = 8
multiply by 36 to get rid of the denominators, results
4h + 3f + 3f + 2h = 36(8)
Combine like terms
6h + 6f = 288
simplify, divide by 6
h + f = 288/6
h + f = 48 miles, is the distance from A to B