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Answer: 9 hours.

4 gardeners     4 flower beds               4 hours

4 gardeners    4 flower beds                6 hours ($\times \frac64$)

4 gardeners    4 flower beds           9 hours ($\times \frac64$)

6 gardeners    6 flower beds            9 hours ($\times \frac 64$ for more flower beds
                                                                               and $\div\frac64$ for more gardeners)






This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.