John can do a piece of work in 9 days. But with the help of his classmate, he can do the same work in 3

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gummadirevantheswar7 @gummadirevantheswar7

June 2023 1 4 Report

John can do a piece of work in 9 days. But with the help of his classmate, he can do the same work in 3 days. In how many days can his classmate does the work?

Answers & Comments

Mysteryboy01

[tex]1 \: hour \: work \: of \: John = \frac{1}{9} [/tex]

[tex]1 \: hour \: work \: of \: Classmate = \frac{1}{3} [/tex]

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[tex]1 \: hour \: work \: of \: John = \frac{1}{9} [/tex]

[tex]1 \: hour \: work \: of \: Classmate = \frac{1}{3} [/tex]

[tex]1 \: hour \: of \: both = \frac{1}{9} + \frac{1}{3} [/tex]

[tex] = \frac{1 + 3}{9} [/tex]

[tex] = \frac{4}{9} [/tex]

[tex]So \: Together \: can \: do \: this \: job[/tex]

[tex] = \frac{9}{4} \times 100[/tex]

[tex] = 25 \times 9[/tex]

[tex] = 225 \: minutes[/tex]

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