Any time speedy the sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. yesterday, she drank 1 cup. if today she drank 17/42 of a cup more than yesterday, how long (in minutes) did she stay awake today?

She stayed awake for 295 minutes today

Explanation:

We are given that:

Yesterday, she drank one cup

Today, she drank of a cup more than yesterday

This means that:

Number of cups she drank today =

Now, we know that she drinks of a cup per hour any time she is not sleeping

We use cross multiplication to get the time she took to drink cups

1 hour ...........................> of a cup

?? hours ......................> cups

Time taken =

This means that she was awake for hours

Finally, we convert this to minutes:

Knowing that 1 hour has 60 minutes, therefore:

She stayed awake for minutes

Hope this helps :)