Question

Travelling at $45$ miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive $240$ miles from Orlando to Miami?

Answer 1

Hint: In this question, the distance and speed are given. And we want to find the time taken to drive from Orlando to Miami. As we already know, speed is calculated by distance divided by time. We will get the time in an hour. We have to convert that time into a minute as asked in the question. For that, we will use the conversation: 1 hour is equal to 60 minutes. And the formula of speed is:
$s = \dfrac{d}{t}$ . Here, ‘s’ is speed, ‘d’ is the distance, and ‘t’ is time.

Complete step-by-step solution:
In this question, the speed is given 45 miles per hour.
The distance between Orlando and Miami is 240 miles.
We want to calculate time in minutes.
We know the formula of speed as below.
$ \Rightarrow s = \dfrac{d}{t}$
Let us substitute all the values.
The value of d is 240 miles, and the value of s is 45 miles per hour.
Therefore,
$ \Rightarrow 45 = \dfrac{{240}}{t}$
Now, let us multiply both sides by t.
$ \Rightarrow 45 \times t = \dfrac{{240}}{t} \times t$
That is equal to
$ \Rightarrow 45 \times t = 240$
Now, let us divide both sides by 45.
 $ \Rightarrow \dfrac{{45 \times t}}{{45}} = \dfrac{{240}}{{45}}$
That is equal to
$ \Rightarrow t = \dfrac{{240}}{{45}}$
Here, take out 15 as a common factor and cut them from the numerator and the denominator.
$ \Rightarrow t = \dfrac{{16}}{3}$
Here, we get time that is equal to $\dfrac{{16}}{3}$hours.
Now, let us convert the time into minutes.
As we know that 1 hour is equal to 60 minutes.
So, $\dfrac{{16}}{3}$hours is equal to:
$ \Rightarrow \dfrac{{16}}{3} \times 60$ minutes
That is equal to
$ \Rightarrow 320$ minutes

Hence, the time taken to travel from Orlando to Miami is 320 minutes at the speed of 45 miles per hour.

Note: The use of a unit depends on the situation, such as the area of a room is expressed in meters but the length of a pencil is expressed in centimetres and its thickness in millimetres. Thus, we need to convert one unit to another. Therefore, let us understand the relationship between units.
Points to remember while converting units:
To convert a bigger unit to a smaller unit, we have to apply multiplication.
To convert a smaller unit to a bigger unit, we have to apply division.