Answer :
Answer:
a.) 24 minutes
30 miles per hour, means it would take 2 minutes per mile. so 12x2=24.
b.)36
40 miles per hour means it would take 3 minutes per mile. so 12x3=36
c.)80 miles
30+10=40 so 40x2=80 (2 representing the hours)
d.) (I'm not so sure about D but I'll try to give a reasonable answer)
IF X is 30 mph, then she'd drive 60 miles in 2 hours.
(Since it only gives me 2 hours and it doesn't tell me what x Is I can't give a straight answer.)
Using the relation between velocity, distance and time, we find that:
a) It will take her 24 minutes to get there.
b) It will take her 18 minutes to get there.
c) She will cover a distance of 80 miles.
d) She will cover a distance of 2x miles.
Velocity is distance divided by time, thus:
[tex]v = \frac{d}{t}[/tex]
Item a:
Velocity of 30 mph, thus [tex]v = 30[/tex]
Distance of 12 miles, thus [tex]d = 12[/tex].
[tex]v = \frac{d}{t}[/tex]
[tex]30 = \frac{12}{t}[/tex]
[tex]30t = 12[/tex]
[tex]t = \frac{12}{30}[/tex]
[tex]t = 0.4[/tex]
0.4 hours = 24 minutes.
It will take her 24 minutes to get there.
Item b:
With the increase of 10 mph, we consider [tex]v = 30 + 10 = 40[/tex], thus:
[tex]30 = \frac{12}{t}[/tex]
[tex]40t = 12[/tex]
[tex]t = \frac{12}{40}[/tex]
[tex]t = 0.3[/tex]
0.3 hours = 18 minutes.
It will take her 18 minutes to get there.
Item c:
2 hours, thus [tex]t = 2[/tex].
Velocity of 40 mph, thus [tex]v = 40[/tex].
[tex]v = \frac{d}{t}[/tex]
[tex]d = vt[/tex]
[tex]d = 40(2)[/tex]
[tex]d = 80[/tex]
She will cover a distance of 80 miles.
Item d:
Now speed of x, so [tex]v = x[/tex]
[tex]d = vt[/tex]
[tex]d = x(2)[/tex]
[tex]d = 2x[/tex]
She will cover a distance of 2x miles.
A similar problem is given at https://brainly.com/question/24316569