Workers and time in inverse proportion: how many workers or days

This type of question, asked 3 times: 17 Sep 2025 S3, 19 Sep 2025 S1, 23 Sep 2025 S1. All 3 questions below, oldest first.

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Question 1
17 Sep 2025 S3
20 $If 6 machines complete a task in 10 days, how many days for 15 machines at same rate?$
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Question 2
19 Sep 2025 S1
21 $If 4 taps can fill a tank in 15 minutes, how many taps are needed to fill it in 6 minutes?$
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Question 3
23 Sep 2025 S1
21 $If 5 cats can catch 5 mice in 5 minutes, how many cats are needed to catch 100 mice in 100 min?$
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Question 1