contestada

117 Mr. Turtle, Mrs. Squirrel and Ms. Pigeon work at the Magic Forest's post office. Mr. Turtle can

deliver a package from the Southern Glade to the Northern Glade in 3 days, while Ms. Pigeon can

deliver it in 30 minutes. How much time will the same job take Mrs. Squirrel, if the ratio of Mr.

Turtle's time to the Mrs. Squirrel's time is the same as the ratio of Mrs. Squirrel's time to Ms.

Pigeon's time?

Respuesta :

Using proportions, it is found that the same job will take Mrs. Squirrel 6 hours.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The times are given as follows:

  • Mrs. Squirrel: x.
  • Mr. Turtle: 3 days.
  • Mr. Pigeon: 30 minutes = Half an hour = 1/48 day.

The ratios are as follows:

Turtle/Squirrel = Squirrel/Pigeon.

Hence:

[tex]\frac{3}{x} = \frac{x}{\frac{1}{48}}[/tex]

[tex]x^2 = \frac{3}{48}[/tex]

[tex]x^2 = \frac{1}{16}[/tex]

[tex]x = \sqrt{\frac{1}{16}}[/tex]

x = 1/4.

It takes 1/4 of a day for Mrs. Squirrel to do the job, hence 1/4 x 24 hours = 6 hours.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Otras preguntas