Inverse Variation

by Raymond Lim
(Singapore)




The time taken to complete a school project is inversely proportional to the number of students involved.

A team of 5 students can complete the project in 6 weeks.

Suppose that 4 weeks into the project, one of the five students left the team.

The remaining students decide to continue with the project by themselves.

Calculate the number of days needed to complete the project in this case.

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Jun 30, 2011
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sudhanshu.cochin@gmail.com
by: sudhanshu kumar


The time taken to complete a school project is inversely proportional to the number of students involved.

it means number of student* time = a constant

here it is , 5*6 = 30

after 4 weeks, remaining works = 30 - 5*4 = 10

time = 10/4 = 2.5 week (only 4 students available)

2.5 * 7 = 17.5 days

so, after 4 weeks, 17.5 days needed to complete the project.



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