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

Answer:

She stayed awake for 295 minutes today

Explanation:

We are given that:

Yesterday, she drank one cup

Today, she drank $\frac{17}{42}$ of a cup more than yesterday

This means that:

Number of cups she drank today = $1+\frac{17}{42}=1\frac{17}{42}cups$

Now, we know that she drinks $\frac{2}{7}$ of a cup per hour any time she is not sleeping

We use cross multiplication to get the time she took to drink $1\frac{17}{42}$ cups

1 hour ...........................> $\frac{2}{7}$ of a cup

?? hours ......................> $1\frac{17}{42}$ cups

Time taken = $\frac{1\frac{17}{42}*1 }{\frac{2}{7} } = \frac{59}{12} = 4\frac{11}{12} hours$

This means that she was awake for $4\frac{11}{12}$ hours

Finally, we convert this to minutes:

Knowing that 1 hour has 60 minutes, therefore:

She stayed awake for $4\frac{11}{12} * 60 = 295$ minutes

Hope this helps :)

Answer 2

Answer:

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