Question

In 2016 the average Lexington driver spent 18 hours in traffic jams which accounted for 6% of their total driving time. How many hours did the average Lexington driver spend behind the wheel in 2016?

Answer 1

"Percentage" is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The formula used to calculate percentage is given to be:

`Percentage=\frac{Value}{Total\text{ }Value}*100`

From the question provided, we are given the following parameters:

`\begin{gathered} Percentage=6 \\ Value=18 \end{gathered}`

The number of hours the average driver spends on the road is the "Total Value" in the formula. If that is represented by V and we substitute the remaining values into the formula, we have it to be:

`6=(18)/(V)*100`

Therefore, we can solve as follows:

`\begin{gathered} \text{Multiply both sides of the equation by V:} \\ 6V=18*100 \\ \text{Divide both sides by 6:} \\ V=(18*100)/(6) \\ V=300 \end{gathered}`

Therefore, the average Lexington driver spends 300 hours behind the wheel in 2016.