Question

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?

Answer 1

295 minutes

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 =
`(60)/(2/7)=210` minutes

Time taken to drink 1+17/42 cups =
`210*1(17)/(42)=295` minutes

Since she drinks tea as long as she stay awakes. This means, she stayed awake for 295 minutes today.