Question

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. Ben drinks tea at a constant rate. How many liters of tea does he drink in one hour?

Answer 1

Answer:

Ben will drink $5\frac{1}{4}$ liters of tea in one hour.

Step-by-step explanation:

Ben drinks $3\frac{1}{2}$ or $\frac{7}{2}$ liters of tea in every $\frac{2}{3}$ of an hour.

Here $\frac{2}{3}$ of an hour can be represented in minutes as

$\frac{2}{3}\times 60$ minutes = 40 minutes.

Now we will apply unitary method to solve this question.

∵ Ben drinks amount of tea in 40 minutes = $\frac{7}{2}$ liters

∴ Ben will drink tea in 1 minute = $\frac{7}{2\times 40}$

∴ Ben will drink the amount of tea in 60 minutes = $\frac{7\times 60}{2\times 40}$

                                                                                 = $\frac{420}{80}$

                                                                                 = $\frac{21}{4}$ liters

                                                                                 = $5\frac{1}{4}$ liters

Therefore, in one hour Ben will drink $5\frac{1}{4}$ liters of tea.

Answer 2

Divide 3 1/2 by 2/3. 3 1/2 = 7/2 as an improper fraction, so we have 7/2 ÷ 2/3 = 7/2 * 3/2 = 21/4 = 5 1/4 L