Answer:
The time Raul spent on Language Arts is (5/12) hours.
Raul spent 25 minutes on Language Arts.
Step-by-step explanation:
The total time allotted for home = 1 hr
Time spent on math = (1/4) hour
Time spent on history = (1/3) hour
Let the time spent on language arts = k hours
Now, according to the question:
Time Spent on (Math + History + Language Arts) = 1 hour
⇒ [tex](\frac{1}{4}) + (\frac{1}{3}) + k = 1[/tex]
or, [tex]\frac{3 + 4}{12} + k = 1 \implies \frac{7}{12} + k = 1[/tex]
or, [tex]k = 1 - \frac{7}{12} = \frac{12 - 7}{12} = \frac{5}{12}[/tex]
⇒ k = (5/12) hours
Or, the time Raul spent on Language Arts is (5/12) hours.
and (5/12) hour = [tex]\frac{5}{12} \times 60 = 25[/tex]
Or, Raul spent 25 minutes on Language Arts.
