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

She stay awake for 295 minutes

Step-by-step explanation:

According to the situation

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 today she drank 17/42 of a cup more than yesterday.)

So the time is 295 minutes

Answer 2

She stayed awake for 295 minutes today

Step-by-step explanation:

We are given that:

Yesterday, she drank one cup

Today, she drank
`(17)/(42)` of a cup more than yesterday

This means that:

Number of cups she drank today =
`1+(17)/(42)=1(17)/(42)cups`

Now, we know that she drinks
`(2)/(7)` of a cup per hour any time she is not sleeping

We use cross multiplication to get the time she took to drink
`1(17)/(42)` cups

1 hour ...........................>
`(2)/(7)` of a cup

?? hours ......................>
`1(17)/(42)` cups

Time taken =
`(1(17)/(42)*1 )/((2)/(7) ) = (59)/(12) = 4(11)/(12) hours`

This means that she was awake for
`4(11)/(12)` hours

Finally, we convert this to minutes:

Knowing that 1 hour has 60 minutes, therefore:

She stayed awake for
`4(11)/(12) * 60 = 295` minutes

Hope this helps :)