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 = $10\dfrac{5}{6}$ hours a week.

Monday she read $1\dfrac{1}{3}$ hours.

Tuesday she read $\dfrac{3}{4}$ 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 = $10\dfrac{5}{6}$ hours a week.

Total time she already read $=1\dfrac{1}{3}+\dfrac{3}{4}+3$ hours

                                              $=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3$ hours

                                              $=\dfrac{4}{3}+\dfrac{3}{4}+3$ hours

                                              $=\dfrac{16+9+36}{12}$ hours

                                              $=\dfrac{61}{12}$ hours

Now,

Remaining time = Total time - Total time she already read

                         $=10\dfrac{5}{6}-\dfrac{61}{12}$

                         $=\dfrac{65}{6}-\dfrac{61}{12}$

                         $=\dfrac{130-61}{12}$

                         $=\dfrac{69}{12}$

                         $=\dfrac{23}{4}$

                         $=5\dfrac{3}{4}$

Therefore, the required time is  $5\dfrac{3}{4}$ hours.