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

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

Answer 2

Ben will drink
`5(1)/(4)` liters of tea in one hour.

Explanation:

Ben drinks
`3(1)/(2)` or
`(7)/(2)` liters of tea in every
`(2)/(3)` of an hour.

Here
`(2)/(3)` of an hour can be represented in minutes as

`(2)/(3)* 60` minutes = 40 minutes.

Now we will apply unitary method to solve this question.

∵ Ben drinks amount of tea in 40 minutes =
`(7)/(2)` liters

∴ Ben will drink tea in 1 minute =
`(7)/(2* 40)`

∴ Ben will drink the amount of tea in 60 minutes =
`(7* 60)/(2* 40)`

=
`(420)/(80)`

=
`(21)/(4)` liters

=
`5(1)/(4)` liters

Therefore, in one hour Ben will drink
`5(1)/(4)` liters of tea.