Marley has read 112.5 pages of a book. By the end of today, she plans to have read at least a total of 360 pages. If she reads 45 pages per hour, what is the minimum amount of time she should devote to reading today?

Respuesta :

Answer:

[tex]5 \frac{1}{2} hours[/tex]

Step-by-step explanation:

We are told that, Marley has already read 112.5 pages of the book.

Marley also plans to read at least 360 pages in all.

Now, let x be at least the number of pages Marley is let to read to achieve her goal.

This implies that

[tex]x \geqslant 360 - 112.5[/tex]

[tex] \implies x \geqslant 247.5[/tex]

This means that Marley would have been reading at least 247.5 pages

Moreover, we are told that Marley reads 45 pages every hour.

Hence to find the minimum amoutnt of timeof time (let say y) she should devote fkr reading, we divide the number of pages she has left to read by 45.

This implies

[tex]y \geqslant \frac{247.5}{45} [/tex]

[tex] \implies y\geqslant 5 \frac{1}{2} hours[/tex]