If a conference is scheduled to last for 3 hours and must start between 1 PM and 3 PM, which of the following is a valid start time?

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Q: If a conference is scheduled to last for 3 hours and must start between 1 PM and 3 PM, which of the following is a valid start time?

Solution: 1:30 PM is valid as it allows the conference to end by 4:30 PM, which is within the allowed time frame.

Steps: 8

Step 1: Understand that the conference lasts for 3 hours.
Step 2: Identify the time frame for starting the conference, which is between 1 PM and 3 PM.
Step 3: Calculate the latest possible start time. If the conference starts at 3 PM, it will end at 6 PM, which is too late.
Step 4: Determine the latest valid start time. The latest time to start the conference and still finish by 4 PM is 1 PM (ending at 4 PM).
Step 5: Check the start time of 1:30 PM. If the conference starts at 1:30 PM, it will end at 4:30 PM.
Step 6: Since 4:30 PM is after the allowed time frame, 1:30 PM is not a valid start time.
Step 7: The valid start times are between 1 PM and 2:00 PM, as starting at 2:00 PM will end at 5:00 PM, which is also too late.
Step 8: Conclude that the only valid start times are from 1 PM to 2:00 PM.