Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Sheila, janice, and katen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how much of the job could janice and caren do in 1 day

Sagot :

yersanabria

Answer:

Janice and Karen could do in 1 day:

  • 20% of the job.

Step-by-step explanation:

To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:

If three persons make a job in 3 1/3 days, 1 person make the job in x:

  • 3 persons ⇒ 3 1/3 days or 10/3 days
  • 1 person ⇒ x

Then:

  • [tex]x=\frac{1 person*\frac{10}{3}days }{3 persons}[/tex] (we cancel the unit "persons")
  • [tex]x=\frac{\frac{10}{3}days }{3}[/tex]
  • x = 10 days

Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:

  • Time to complete a job between 2 persons = [tex]\frac{10}{2}days[/tex]
  • Time to complete a job between 2 persons = 5 days

How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:

  • 5 days ⇒ 100% of a job
  • 1 day ⇒ x

Then:

  • [tex]x=\frac{1*100}{5}[/tex] (you can use the % if you want, the result is the same)
  • [tex]x=\frac{100}{5}[/tex]
  • [tex]x=20[/tex]

As you can see, Janice and Karen just in a day could do 20% of the job.

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.