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?
:
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/4}}} + {{{h/3}}} + {{{h/6}}} + {{{f/4}}} = 6
Common denominator of the hill
{{{f/4}}} + {{{(2h)/6}}} + {{{h/6}}} + {{{f/4}}} = 6
combine
{{{(2f)/4}}} + {{{(3h)/6}}} = 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