Question

Raul spent one hour doing his homework last night. he spent 1/4 hour on math and 1/3 hour on history. He spent the rest of the time on language arts. What part of an hour did he spend on language arts? How many minutes was this?

Answer 1

The time Raul spent on Language Arts is (5/12) hours.

Raul spent 25 minutes on Language Arts.

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

⇒
`((1)/(4)) + ((1)/(3))  + k = 1`

or,
`(3 + 4)/(12)  + k = 1  \implies  (7)/(12)  + k  = 1`

or,
`k = 1 - (7)/(12)  = (12 - 7)/(12)   = (5)/(12)`

⇒ k = (5/12) hours

Or, the time Raul spent on Language Arts is (5/12) hours.

and (5/12) hour =
`(5)/(12)  * 60 = 25`

Or, Raul spent 25 minutes on Language Arts.