#### 13**Question 1:

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• A ladder leans against a wall, reaching a height of 12 meters. If the base is 5 meters from the wall, what is the length of the ladder?
• Use Pythagoras: \(c^2 = 12^2 + 5^2 = 144 + 25 = 169\).
• \(c = \sqrt{169} = 13\) meters.
• Alice and Bob are working on a project. Alice can complete a task in 12 hours, while Bob can complete it in 15 hours. If they work together, but Alice starts an hour later than Bob, how long will it take them to complete the task?
• Bob's work rate: \(\frac{1}{15}\) of the task per hour
• Alice's work rate: \(\frac{1}{12}\) of the task per hour

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