This question belongs to simple algebric equation, where we need to add or subtract fractions by finding a common denominator.
Given total hours = 120
Number of hours tutored for 1st week =2 1/3 hours = 7/3 hours
Number of hours in the 2nd week = 3/2 = 1.5 hours
Let the number of more hours she needs to teach be x
[tex]\frac{7}{3} + \frac{3}{2} + x = 20[/tex]
= [tex]\frac{14+9+6x}{6}= 20}[/tex]
23 + 6x = 120
6x = 97
x = 16.167
Hence Kiara needs 16.167 more hours.
And this belongs to a part-whole problem, because the time she still needs to tutor is unknown.