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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!

Alan works for 6 hours and is paid £330. How much would he make if he worked 5 hours?

Learn how to calculate Alan's earnings if he worked 5 hours, given that he worked 6 hours for £330. This problem teaches proportional reasoning and how to calculate hourly wages. Suitable for middle school students.

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