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MrYounggo
Answered

solve the ff Problems involving variations

2) The number of hours required to finish a certain job varies inversely as the number of persons on the job. If 9 persons require 10 hours to finish the job, how long should it take for 30 persons to finish the job?​

Sagot :

Yujieego

Inverse Variation

Problem to solve: The number of hours it should take for 30 persons to finish the job

Let,

t - number of hours required to finish the job

n - number of people on this job

[tex]t = \frac{k}{n} \\ 10 = \frac{k}{9} \\ k = (9)(10) \\ k = 90 \\ \\ t = \frac{k}{n} \\ t = \frac{90}{n} \\ t = \frac{90}{30} \\ \\ t = 3 \: hours[/tex]

Thirty persons can finish the job in 3 hours

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