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

(a) 16.777mi

(b)Yes, he was speeding

Step-by-step explanation:

(a)

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

`27km*(1000m)/(1km) *(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=(d)/(t)`

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

`16min*(1h)/(60min) =2.666666667h`

Now, the speed is:

`v=(16.77706389mi)/(2.666666667h) =62.91398959(mi)/(h)`

As we can see:

`62.91398959(mi)/(h)>55(mi)/(h)`

So, we can conclude that the driver was speeding