9. (6 pts) Your friend can design a math website in 12 hours. Working with your friend, the website can be
designed in 5 hours. How long will it take you to design the website working alone? Round your answer to
the nearest hour
HELPP!! Please

Respuesta :

Using the rates, it is found that it would take you 8.57 hours to design the website working alone.

The together rate is the sum of each separate rate.

In this problem:

  • The together rate is of [tex]\frac{1}{5}[/tex]
  • Your friend rate is of [tex]\frac{1}{12}[/tex]
  • Your rate is of [tex]\frac{1}{x}[/tex]

Then:

[tex]\frac{1}{12} + \frac{1}{x} = \frac{1}{5}[/tex]

[tex]\frac{x + 12}{12x} = \frac{1}{5}[/tex]

[tex]12x = 5(x + 12)[/tex]

[tex]12x = 5x + 60[/tex]

[tex]7x = 60[/tex]

[tex]x = \frac{60}{7}[/tex]

[tex]x = 8.57[/tex]

It would take you 8.57 hours to design the website working alone.

A similar problem is given at https://brainly.com/question/16412837

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE