Question

Moving problem?

Answer 1

I tried this although my interpretation of the question may be wrong....

Explanation:

I am not sure but reading the question it seems to imply that the two cars start with a certain speed regardless to the fact that they should start from rest and accelerate up to reaching a certain speed...!
Let us consider this....strange situation and say the the two speeds are `s_1` and `s_2` with:

`s_2=2s_1` ...........................................(1)

the time will be: `t=6h`; during this time the first car will travel a distance `d_1` while the second `d_2` such that:

`d_2-d_1=204"mi"`............................(2)

we know that:

`"speed"="distance"/"time"`

so we get:

`s_1=d_1/t`
`s_2=d_2/t`

let us combine the two equations through `t`:

`d_1/s_1=d_2/s_2`
and using (1)

`d_1/cancel(s_1)=d_2/(2cancel(s_1))`

so that:

`d_2=2d_1`

into (2):

`2d_1-d_1=204"mi"`

and: `d_1=204"mi"`
giving:
`d_2=204+204=408"mi"`

so the speeds will be:

`s_1=204/6=34"mi"/h`
`s_2=408/6=68"mi"/h`