To answer "How long until 3:20 PM today?", I need to know the current time. Since I don't have access to real-time information, I can't give you a precise answer. However, you can easily calculate this yourself:
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Check your current time: Look at a clock or your device's time display.
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Subtract your current time from 3:20 PM: For example, if it's currently 1:00 PM, there are 2 hours and 20 minutes until 3:20 PM.
Therefore, the answer will vary depending on when you ask.