Three people take $2 \frac{1}{2}$ hours to deliver leaflets to 270 houses - OCR - GCSE Maths - Question 21 - 2020 - Paper 1

Now we need to find out how long it takes for one person to deliver leaflets for one house. This can be calculated by dividing the time taken by one person by the number of houses:

$\text{Time}_{\text{one house}} = \frac{50 \text{ minutes}}{270} \approx 0.1852 \text{ minutes}$

Next, we determine the total time it would take for one person to deliver leaflets to 405 houses:

$\text{Total Time}_{\text{one}} = 405 \times 0.1852 \approx 75 \text{ minutes}$

Since five people are working simultaneously, we divide the total time by 5:

$\text{Time}_{\text{five}} = \frac{75}{5} = 15 \text{ minutes}$

Thus, it will take 15 minutes for five people to deliver leaflets to 405 houses. Therefore, in hours and minutes, the final answer is:

0 hours and 15 minutes.