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Patrick is cleaning his house in anticipation of the arrival

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Patrick is cleaning his house in anticipation of the arrival

by BTGmoderatorLU » Wed Jul 03, 2019 2:01 pm

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Patrick is cleaning his house in anticipation of the arrival of guests. He needs to vacuum the floors, fold the laundry and put away the dishes after the dishwasher completes its cycle. If the dishwasher is currently running and has 55 minutes remaining in its cycle, can Patrick complete all of the tasks before his guests arrive in exactly 1 hour?

1. Vacuuming the floors and folding the laundry will take Patrick 36 minutes.
2. Putting away the dishes will take Patrick 7 minutes.

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by Ian Stewart » Thu Jul 04, 2019 4:49 am

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Statement 1 tells us he can do two of the tasks well before the guests arrive, but we don't know how long putting the dishes away will take, so Statement 1 is not sufficient. Statement 2 tells us that he'll need 55+7 = 62 minutes to wash and put away the dishes, so he can't finish that in less than an hour, and Statement 2 is sufficient alone.
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