SOLUTION: John walks from town A to town B. He first walks on flat land, and then uphill. He then returns to town A along the same route. John’s walking speed on flat land is 4 km/h. He wa

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Question 1027223: John walks from town A to town B. He first walks on flat land, and then uphill.
He then returns to town A along the same route. John’s walking speed on flat land
is 4 km/h. He walks uphill at a speed of 3 km/h and he walks downhill at a speed
of 6 km/h. If the entire journey took 6 hours, what is the distance from town A to
town B?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
John walks from town A to town B.
He first walks on flat land, and then uphill.
He then returns to town A along the same route.
John’s walking speed on flat land is 4 km/h.
He walks uphill at a speed of 3 km/h and
he walks downhill at a speed of 6 km/h.
If the entire journey took 6 hours, what is the distance from town A to
town B?
:
let f = the distance of the flat
let h = the distance of the hill
:
Write a time equation of the round trip. (time = dist/speed
f%2F4 + h%2F3 + h%2F6 + f%2F4 = 6
Common denominator of the hill
f%2F4 + %282h%29%2F6 + h%2F6 + f%2F4 = 6
combine
%282f%29%2F4 + %283h%29%2F6 = 6
get rid of the denominators, multiply thru by 12
3(2f) + 2(3h) = 12(6)
6f + 6h = 72
simplify, divide thru by 6
f + h = 12 km is the distance from Town A to B