Question

A book has $360$pages. Ajay reads$\frac{11}{18}$ the book in a week, while Seema reads $\frac{7}{10}$the book in a week. Who reads faster, by what fraction, and by how many pages?

Answer 1

Step 1 :- Find the number of pages Ajay reads in a week

A book has $360$pages. Ajay reads$\frac{11}{18}$ the book in a week, while Seema reads $\frac{7}{10}$the book in a week

The number of pages Ajay reads in a week$=\frac{11}{18}\times 360$

$$\begin{gathered} =11\times 20 \\ =220 \end{gathered}$$

$\therefore$The number of pages Ajay reads in a week is $220$

Step 2 :- Find the number of pages Seema reads in a week

and The number of pages Seema reads in a week$=\frac{7}{10}\times 360$

$$\begin{gathered} =7\times 36 \\ =252 \end{gathered}$$

$\therefore$The number of pages Seema reads in a week is $252$

Step 3 :- Find who reads faster and by how many pages

$\therefore$ Seema reads faster than the Ajay (since $220<252$ )

and by the fraction$=\frac{32}{360}$

$=\frac{4}{45}$

$\therefore$The fraction is $\frac{4}{45}$

The number of book pages Seema read more than the Ajay$=252-220$

$=32$

$\therefore$The number of book pages Seema read more than the Ajay is $32$