Answer:
295 minutes
Step-by-step explanation:
It is given that Speedy the Sloth drinks tea at a steady rate of 2/7 cups per hour.
Yesterday she drank 1 cup and today she drank 17/42 of a cup more than yesterday. This means today she drank 1 + 17/42 cups.
Time taken to drink 2/7 of a cup = 1 hour = 60 minutes
Time taken to drink 1 cup = [tex]\frac{60}{2/7}=210[/tex] minutes
Time taken to drink 1+17/42 cups = [tex]210\times1\frac{17}{42}=295[/tex] minutes
Since she drinks tea as long as she stay awakes. This means, she stayed awake for 295 minutes today.
