Question

A man makes a 27.0 km trip in 16 minutes. (a.) How far was the trip in miles? (b.) If the speed limit was 55 miles per hour, was the driver speeding?

Answer 1

Answer:

(a) 16.777mi

(b)Yes, he was speeding

Explanation:

(a)

Let's do the proper operations in order to convert km to mi:

$27km*\frac{1000m}{1km} *\frac{1mi}{1609.34m} =16.77706389mi$

We can conclude that the trip length in miles was:

$d=16.77706389mi$

(b)

Let's calculate the speed of the man during the trip:

$v=\frac{d}{t}$

But first, let's do the proper operations in order to convert min to h:

$16min*\frac{1h}{60min} =2.666666667h$

Now, the speed is:

$v=\frac{16.77706389mi}{2.666666667h} =62.91398959\frac{mi}{h}$

As we can see:

$62.91398959\frac{mi}{h}>55\frac{mi}{h}$

So, we can conclude that the driver was speeding