x = level ground
y = hills
x/6 +y/4 +y/12 + x/6 = 2 hours
multiply everything by 12 to get rid of the denominators:
equation becomes 2x +3y +y +2x = 24
combine like terms:
4x +4y = 24
divide everything by 4
f +h = 6 miles to Jon's house
Jon's house is 6 miles further away from Marlene's house.
Given that:
Speed on level ground is 6 mph
Speed on uphills is 4 mph
Speed on downhills is 12 mph
Let there are x miles level ground and y miles hills(either up or low, which while returning to home will serve as low or up respectively) in the route, then the whole route's length is x + y miles.
Since time taken = distance/speed , thus we have:
[tex]2 = \dfrac{x}{6} + \dfrac{y}{4} + \dfrac{x}{6} + \dfrac{y}{12}\\\\\text{Multiplying 12 on both sides}\\\\24 = 4x + 4y\\6 = x + y[/tex]
Since x + y denotes the length of the whole route(one sided), thus, Jon's house is 6 miles further away from Marlene's house.
Learn more here:
https://brainly.com/question/21470320
