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10 students took 9 days to weed a school

compound. How long would it take 15
students to weed the same compound if
they weed at the same rate?

User Partho
by
5.1k points

1 Answer

1 vote

Answer:

It would take 15 students 6 days to weed the school compound

Explanation:

This first step to solving this question is to break down the given rates.

We are told that 10 students take 9 days to weed the school compound. From here we can simplify this by figuring out how long it would take 1 student to weed the compound. Having less people would mean taking a longer time.

1 person is a 1/10 of 10 people. Since we have 10x less people, it should take 10x as long. Therefore it would take 1 person 9x10=90 days to weed a school.

Now the question asks how long it would take 15 people. 15 people is 15x as many as 1 person, so it should take 15x less time to weed the compound. 90/15 = 6

It would take 15 students 6 days to weed the school compound.

Similarly you could have just divided 9 by 1.5 as 15 is 1.5x10, but it is easier to explain the process using the above method.

Hope this helped!

User Franck Valentin
by
4.8k points