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Question Number 170515 by Tawa11 last updated on 25/May/22

8 men and 12 women can complete a certain job for 6 days. The men work at 6/5 the rate at which the women work. How many men will be required to complete the job in 4 days\\n

Answered by Rasheed.Sindhi last updated on 26/May/22

6 women=5 men  12 women=10 men  8 men and 12 women=18 men   determinant (((men),(days),(job)),((  18),(    6),(  1)),((    x),(    4),(  1)))  more men less days(inverse proportion)  (x/(18))=(6/4)⇒x=((6×18)/4)=27 men

$$\mathrm{6}\:{women}=\mathrm{5}\:{men} \\ $$ $$\mathrm{12}\:{women}=\mathrm{10}\:{men} \\ $$ $$\mathrm{8}\:{men}\:{and}\:\mathrm{12}\:{women}=\mathrm{18}\:{men} \\ $$ $$\begin{array}{|c|c|c|}{{men}}&\hline{{days}}&\hline{{job}}\\{\:\:\mathrm{18}}&\hline{\:\:\:\:\mathrm{6}}&\hline{\:\:\mathrm{1}}\\{\:\:\:\:{x}}&\hline{\:\:\:\:\mathrm{4}}&\hline{\:\:\mathrm{1}}\\\hline\end{array} \\ $$ $${more}\:{men}\:{less}\:{days}\left({inverse}\:{proportion}\right) \\ $$ $$\frac{{x}}{\mathrm{18}}=\frac{\mathrm{6}}{\mathrm{4}}\Rightarrow{x}=\frac{\mathrm{6}×\mathrm{18}}{\mathrm{4}}=\mathrm{27}\:{men} \\ $$

Commented byotchereabdullai@gmail.com last updated on 26/May/22

nice one!

$$\mathrm{nice}\:\mathrm{one}! \\ $$

Commented byTawa11 last updated on 30/May/22

God bless you sir. I appreciate.

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.\:\mathrm{I}\:\mathrm{appreciate}. \\ $$

Answered by Beginner last updated on 25/May/22

18×6/4=27men

$$\mathrm{18}×\mathrm{6}/\mathrm{4}=\mathrm{27}{men} \\ $$

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