Question

Ben drinks tea at an incredible rate. He drinks 3\dfrac123

2
1
​ liters of tea every \dfrac23
3
2
​ of an hour. Ben drinks tea at a constant rate.
How many liters of tea does he drink in one hour?

Answer 1

`5(1)/(4)` liters of tea does he drink in one hour.

Explanation:

Unit rate defined as the rate are expressed as a quantity 1 such as 2 miles per hour or 4 meter per second.

As per the statement:

Ben drink
`3(1)/(2) = (7)/(2)` liters of tea every
`(2)/(3)` of an hour.

We have to find the liters of tea does he drink in one hour.

`\text{Unit rate per hour} = ((7)/(2) )/((2)/(3)) = (7)/(2) * (3)/(2) =(21)/(4) = 5(1)/(4)` liters

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