Question 6
Lipika reads a book for $1\frac{3}{4}$ hours in a day. If she read the entire book in 6 days how many hours did she take to read the book? In how many days will she be able to complete the book if she would have read for $\frac{1}{2}$ hours each day? [3 Marks]

Steps: 1 Mark
Calculation: 2 Marks

Time taken by Lipika to read a book $=1\frac{3}{4}hours$
She reads the entire book in 6 days.
Now, total number of hours she took to read the entire book

$=1\frac{3}{4}\times 6=\frac{7}{4}\times 6=\frac{21}{2}=10\frac{1}{2}hours$

Now if she reads for $\frac{1}{2}$ hours daily, time required by her to complete the book

$=10\frac{1}{2}÷\frac{1}{2}=\frac{21}{2}÷\frac{1}{2}=21$

Hence, if she reads for half an hour daily she will finish reading the book in 21 days.