Question

Of the $1\dfrac{3}{4}$ hours you spend at a restaurant, $20$ minutes is spent eating. What percentage of the time is spent eating?

Answer 1

Hint: Here, in the given question, we are given that, of the $1\dfrac{3}{4}$ hours you spend at a restaurant, $20$ minutes is spent eating, and we need to find the percentage of the time spent eating. To solve the given question, we will first convert the time into the same measurement. After this, we will find the percentage using the percentage formula.

Formula used:
$\text{Percentage} = \dfrac{\text{Value} }{ \text{Total value }} \times 100$

Complete step by step solution:
You spend $1\dfrac{3}{4}$ hours at a restaurant and of that spend $20$ minutes eating.
Let us first convert $1\dfrac{3}{4}$ hours (mixed fraction) into normal fraction.
$ \Rightarrow 1\dfrac{3}{4}$ hours = $\dfrac{7}{4}$ hours
Now, we will convert $\dfrac{7}{4}$ hours into minutes. As we know $1$ hour = $60$ minutes. Therefore, we get
$ \Rightarrow \dfrac{7}{4}$ hours = $\dfrac{{7 \times 60}}{4}$ minutes
On canceling out, we get
$ \Rightarrow \dfrac{7}{4}$ hours = $7 \times 15$ minutes
On multiplication, we get
$ \Rightarrow \dfrac{7}{4}$ hours = $105$ minutes
Now we can say that, of the $105$ minutes in the restaurant, $20$ minutes were spent eating.
The time spent eating in percentage = (time spent eating in minutes divided by total number of minutes) ×100
$ \Rightarrow \dfrac{{20}}{{105}} \times 100$ = $19.047\% \cong 19\% $
Thus, $19\% $ of the time was spent eating.

Note:
To solve this type of question, always remember to first convert the time in the same measurement. Here, we converted $1\dfrac{3}{4}$ hours into minutes by multiplying it by $60$. We can also solve the given question by converting $20$ minutes into hours, by dividing it by $60$. We should take care of the calculations so as to be sure of our final answer. Remember to write units.