Question

Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On Monday she read 1 and 1 over 3 hours, Tuesday she read 3 over 4 of an hour and Thursday she read 3 hours. How many total hours does she still need to read in order to get full credit?

Answer 1

Given:

She is required to read a total =
`10(5)/(6)` hours a week.

Monday she read
`1(1)/(3)` hours.

Tuesday she read
`(3)/(4)` of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time =
`10(5)/(6)` hours a week.

Total time she already read
`=1(1)/(3)+(3)/(4)+3` hours

`=(1* 3+1)/(3)+(3)/(4)+3` hours

`=(4)/(3)+(3)/(4)+3` hours

`=(16+9+36)/(12)` hours

`=(61)/(12)` hours

Now,

Remaining time = Total time - Total time she already read

`=10(5)/(6)-(61)/(12)`

`=(65)/(6)-(61)/(12)`

`=(130-61)/(12)`

`=(69)/(12)`

`=(23)/(4)`

`=5(3)/(4)`

Therefore, the required time is
`5(3)/(4)` hours.