The table below shows how long a printer took to print pages for each of the 5 recent print jobs.

$$ \begin{array} {|c|c|c|} \hline \text{Job} & \text{Number of } & \text{Total printing time} \\ \text{number} & \text{pages printed} & \text{(seconds)} \\ \hline 1 & 35 & 20 \\ \hline 2 & 482 & 325 \\ \hline 3 & 1{,}950 & 1{,}320 \\ \hline 4 & 10 & 5 \\ \hline 5 & 633 & 450 \\ \hline \end{array} $$

At the rate that job number 3 was completed, how long would a print job of 500 pages take to complete?

Summary Submit Skip Question

Use the appropriate information from the table to set up a proportion.

$$ \begin{array} {|c|c|c|} \hline \text{Job} & \text{Number of } & \text{Total printing time} \\ \text{number} & \text{pages printed} & \text{(seconds)} \\ \hline 1 & 35 & 20 \\ \hline 2 & 482 & 325 \\ \hline 3 & \colorbox{aqua}{$1{,}950$} & \colorbox{aqua}{$1{,}320$} \\ \hline 4 & 10 & 5 \\ \hline 5 & 633 & 450 \\ \hline \end{array} $$ $$ \frac{1{,}950 \text{ pages}}{1{,}320 \text{ seconds}} = \frac{500 \text{ pages}}{x \text{ seconds}} $$ $$ 1{,}950\cdot x=500\cdot 1{,}320 $$ $$ x \approx 338.46 \text{ seconds}$$

We need to convert this into seconds. See Unit Conversions if the steps below are unfamiliar to you.

$$ 338.46 \text{ seconds} \cdot \frac{1 \text{ minute}}{60 \text{ seconds}} $$ $$ \approx 5.64 \text{ minutes} $$ $$ (0.64) \text{ of a minute} = 0.64 \cdot 60 \text{ seconds}$$ $$ \approx 38 \text{ seconds} $$

Alternatively, we know that there are 300 seconds in 5 minutes, which means 338.46 seconds is approximately 5 minutes and 38 seconds.