Question

Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2 1 ​ 3, start fraction, 1, divided by, 2, end fraction liters of tea every \dfrac23 3 2 ​ start fraction, 2, divided by, 3, end fraction of an hour. Ben drinks tea at a constant rate. How many liters of tea does he drink in one hour?

Answer 1

Restating the question clearly:

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

Answer:

He drinks
`5(1)/(4)\ liters\` in 1 hour

Explanation:

`Rate\ of\ drinking\ =\ 3(1)/(2)\ liters\ per\ (2)/(3)\ of\ an\ hour\\`
`\therefore\ 3(1)/(2)\ liters\ is\ consumed\ in\ (2)/(3) \ hours\\(7)/(2) \ liters = (2)/(3) \ hours\\cross-multiplying\\7 * 3\ liters = 2 * 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\ 1\ hour\\(4)/(4)\ hours = (21)/(4)\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5(1)/(4)\ liters`