It will take 21 mins to get there.
Speed is simply defined as the distance travelled per unit time. Mathematically, it is expressed as:
[tex]Speed = \frac{Distance}{Time}[/tex]
To answer the question given above, we'll begin by converting 45 mins to hour. This is illustrated below:
60 mins = 1 h
Therefore,
[tex]45 mins = \frac{45 mins * 1 h }{60mins}[/tex]
45 mins = 0.75 h
Next, we shall determine the distance. This can be obtained as follow:
Time = 0.75 h
Speed = 30 mph
Distance =?
[tex]Speed = \frac{Distance}{Time} \\\\30 = \frac{Distance} {0.75}[/tex]
Cross multiply
Distance = 30 × 0.75
Distance = 22.5 mile
Next, we shall determine the time taken using the freeway at a speed of 65mph. This can be obtained as follow:
Speed = 65 mph
Distance = 22.5 mile
Time =?
[tex]Speed = \frac{Distance }{Time } \\\\65 = \frac{22.5 }{Time }[/tex]
Cross multiply
[tex]65 * Time = 22.5[/tex]
Divide both side by 65
[tex]Time = \frac{22.5}{65}\\\\[/tex]
Time = 0.35 h
Finally, we shall convert 0.35 h to min. This can be obtained as follow:
1 h = 60 mins
Therefore,
[tex]0.35 h = \frac{0.35h * 60 mins}{1 h}\\\\[/tex]
0.35 h = 21 mins
Therefore, the time taken using the freeway at a speed of 65mph is 21 mins.
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