Emeline can type at a constant rate of 1/4 pages/minute.

Mathematics

1 answer:

Degger [83]3 years ago

4 0

Answer:

a. 1/4

b. No, she does not have enough time

c. 28 minutes

Step-by-step explanation:

Emeline can type at a constant rate of 1/4 pages/minute.

a.the ratio of the number of pages to the number of minutes = 1/4 that she types 1 page every 4 minutes.

b. For a five page article she will take 5×4 minutes = 20 minutes( as she took 4 minutes for 1 page ). She won,t be able to complete task before the dead line as she has got only 18 days.

c. Emeline has to type a 7-page article. so, she will take 7×4 minutes = 28 minutes to complete the task.

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sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project

alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

$\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min$