Question

I need help with my homework please. It is solving problems using rational equations in word problem form

Answer 1

So, tell the problems.....

Answer 2

Post them as a question

Answer 3

We'll help you as far as we can...

Answer 4

alana and her father begin skiing the same cross-country trail at ther same time. alana averages 9mph and finishes in 0.25hrs sooner. her father averages 6mph. how long is the trail?

Answer 5

I have to make a key, an equation, and show my work but I can't even understand to even start

Answer 6

alana and her father begin skiing the same cross-country trail at ther same time. alana averages 9mph and finishes in 0.25hrs sooner. her father averages 6mph. how long is the trail?
Let the length of trail be x miles.
Time taken by Alana = x/9
Time taken by father = x/6
\[\frac{x}{6} - \frac{x}{9} = 0.25\]

Answer 7

Just solve the equation I provided for x, and you will get it

Answer 8

ok

Answer 9

3x/54 = 0.25
x = 4.5 miles

Answer 10

ok you lost me how did u get that?

Answer 11

take lcm and then
9x-6x/54=0.25
3x=0.25*54
x=0.25*54/3
x=4.5

Answer 12

I've created the var. x to rep. the length of the path.
So the time taken by Alana = x/9
and that by father = x/6
Because time = dist. / ave. speed
It is given (and taken for granted) that time interval b/w Alana and Father is 0.25 hours.
So x/6 - x/9 = 0.25 (QED)

Answer 13

Let the length of trail be x miles.
Here time=distance/speed
So, thats why Kira took time as the following
Time taken by Alana = x/9
Time taken by father = x/6
Given that Alana finished 0.25 hrs earlier than her father.
So,x/6-x/9=0.25
take lcm and then
9x-6x/54=0.25
\[3x=0.25\times54\]
\[x=\left[ 0.25\times54 \right]\div3\]
x=4.5