Final answer:
Derrick drank 1 and 2/21 liters of water altogether.
Step-by-step explanation:
To find the total amount of water Derrick drank, we need to add the amounts he drank before and after jogging. First, let's add the fractions (2/3) and (3/7) to find a common denominator:
(2/3) + (3/7) = (14/21) + (9/21) = 23/21.
We can simplify this fraction by dividing the numerator by the denominator:
23 ÷ 21 = 1 remainder 2.
This means Derrick drank 1 whole liter and 2/21 of a liter. So, the amount of water Derrick drank altogether is 1 and 2/21 liters.