Question

9. A book has 360 pages. Ajay 11/1
of the book in a week, while Seema reads 7/10
book in a week. Who reads faster, by what fraction and by how many page? ​

Answer 1

Correct Question:-

• A book has 360 pages. Ajay reads 11/18

of the book in a week, while Seema reads 7/10

book in a week. Who reads faster, by what fraction and by how many page?

Answer:-

• Seema reads faster,by 32 pages and fraction of $\bf{1 \dfrac{5}{11}}$.

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• Given:-

No. of Pages a book has =$\bf{360}$

Ajay reads =$\bf{\dfrac{11}{18}}$

Seema reads =$\bf{\dfrac{7}{10}}$

• To Find:-

Who reads faster and by how many pages =$\bf{?}$

• Solution:-

Ajay reads $\dfrac{11}{18}$ of the book.

i.e;

→ $\dfrac{11}{18} \times 360$

→ $11 \times 20$

→ $\bf{220 \: pages}$

Seema reads $\dfrac{7}{10}$ of the book.

i.e;

→ $\dfrac{7}{10} \times 360$

→ $7 \times 36$

→ $\bf{252 \: pages}$

Therefore,

Seema reads faster than Ajay by → (252 - 220) pages.

$\implies\bf\boxed{32 \: pages}$

Now,

We found out that:-

Ajay reads 220 pages in 1 week.

hence,

In order to complete the 360 pages Ajay will take =

→ $\dfrac{360}{220}\times 7$

→ $\dfrac{18}{11}\times 7$

→ $\dfrac{126}{11}$

→ $\bf{11 \dfrac{5}{11}}$

Therefore, it will take $\bf{11 \dfrac{5}{11}}$ days for Ajay to complete the whole book.

Also,

Seema reads 252 pages in 1 week.

hence,

In order to complete the 360 pages Seema will take =

→ $\dfrac{360}{252}\times 7$

→ $\dfrac{360}{36}$

→ $\bf{10}$

Therefore, it will take $\bf{10}$ days for Seema to complete the whole book.

Hence,

Fraction by which Seema reads faster=

→ $(11 \dfrac{5}{11} - 10)$

→ $\dfrac{126}{11} - 10$

→ $\dfrac{126 - 110}{11}$

→ $\dfrac{16}{11}$

→ $\bf\boxed{1 \dfrac{5}{11}}$

$\therefore$Seema reads Faster than Ajay by 32 pages and fraction of $\bf{1 \dfrac{5}{11}}$.

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