A volunteer packs boxes for a charity - OCR - GCSE Maths - Question 24 - 2023 - Paper 2

To solve this, first calculate how long it takes to pack one box:

• If 5 boxes take 45 seconds, then the time taken for 1 box is:

$ext{Time for 1 box} = \frac{45\text{ seconds}}{5} = 9\text{ seconds}$

Next, we find out how long it would take to pack 55 boxes:

• Time to pack 55 boxes is:

$ext{Time for 55 boxes} = 55 \times 9\text{ seconds} = 495\text{ seconds}$

Now, convert 9 minutes into seconds to compare:

• 9 minutes equals:

$9\text{ minutes} = 9 \times 60 = 540\text{ seconds}$

Since 495 seconds is less than 540 seconds, it shows that the volunteer can pack 55 boxes in less than 9 minutes.