Question

help me please

Answer 1

@Zepdrix

Answer 2

She's traveling at some rate toward the mountain, let's call it x.

Answer 3

On the way home, it only takes her 6 hours since she's traveling (x+16) miles/hr.

16 mi/hr faster than her rate on the way toward the mountain.

Answer 4

Recall that distance = rate * time

Answer 5

So,

distanceHouseToMountain = 8 * x

Answer 6

distanceMountainToHouse = 6 * (x+16)

Answer 7

But notice that those distances should be identical, yes? :)

Answer 8

yes

Answer 9

So,
\(\large\rm 8x = 6(x+16)\)

Answer 10

so this is the equation I have to solve

Answer 11

in order to get the answer to the question

Answer 12

So,
x=6(x+2) ?

Answer 13

No. That is a clever thing to attempt though.
But if you want to divide 8 out of 6(x+16)
You have to either take 8 out of 6, or out of each the x and 16.

So inside the brackets would become x/8 + 2
So let's not divide by 8 as a first step :)

Answer 14

so it would be 48 miles?

Answer 15

8x = 6x + 92
2x = 92
x = 48

mmm ya that looks right :D yay good job

Answer 16

Thank you so much