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Rina8888 [55]
3 years ago
10

For the month of October Lisa plan to go running every fifth day and walk every sixth day. If she begins on October 1, on what d

ay of the month will she run and walk during the same day?
Mathematics
1 answer:
Tomtit [17]3 years ago
4 0

Answer:

October 30 is the day of the month she will run and walk during the same day.

Step-by-step explanation:

To determine what day of the month will she run and walk during the same day, we will list the days she plans to go running and the days she plans to walk.

From the question,  Lisa plan to go running every fifth day and walk every sixth day, then

If she begins on October 1, the days she will run will be

October 5, October 10, October 15, October 20, October 25, and October 30;

while the days she will walk will be

October 6, October 12, October 18, October 24, and October 30.

Since October 30 occurred among the days she will run and walk, then October 30 is the day of the month she will run and walk during the same day.

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Janice and Karen could do in 1 day:

  • <u>20% of the job</u>.

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
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Then:

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

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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:

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

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