To solve the problem:

Alan works for 6 hours and is paid £330. We need to determine how much he would make if he worked for 5 hours.

1. First, calculate Alan's hourly rate by dividing the total payment by the number of hours worked: $\text{Hourly rate} = \frac{£330}{6 \text{ hours}} = £55 \text{ per hour}$

2. Next, multiply the hourly rate by the new number of hours (5 hours) to find how much Alan would earn for 5 hours of work: $\text{Earnings for 5 hours} = 55 \times 5 = £275$

Therefore, if Alan worked 5 hours, he would make £275.

Would you like more details or have any questions? Here are some related questions to explore:

1. What if Alan worked for 8 hours? How much would he earn?
2. If Alan's rate increased by 10%, how much would he make for 6 hours?
3. How long would Alan need to work to earn £500 at the same hourly rate?
4. If Alan worked for 4 hours, what would his earnings be?
5. How would his earnings change if he worked 5 hours but his rate was reduced to £50 per hour?

Tip: When dealing with hourly rates, always ensure to divide and multiply consistently to find proportional amounts!