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
Answered by Rasheed.Sindhi last updated on 26/May/22
$$\mathrm{6}\:{women}=\mathrm{5}\:{men} \\ $$$$\mathrm{12}\:{women}=\mathrm{10}\:{men} \\ $$$$\mathrm{8}\:{men}\:{and}\:\mathrm{12}\:{women}=\mathrm{18}\:{men} \\ $$$$\begin{array}{|c|c|c|}{{men}}&\hline{{days}}&\hline{{job}}\\{\:\:\mathrm{18}}&\hline{\:\:\:\:\mathrm{6}}&\hline{\:\:\mathrm{1}}\\{\:\:\:\:{x}}&\hline{\:\:\:\:\mathrm{4}}&\hline{\:\:\mathrm{1}}\\\hline\end{array} \\ $$$${more}\:{men}\:{less}\:{days}\left({inverse}\:{proportion}\right) \\ $$$$\frac{{x}}{\mathrm{18}}=\frac{\mathrm{6}}{\mathrm{4}}\Rightarrow{x}=\frac{\mathrm{6}×\mathrm{18}}{\mathrm{4}}=\mathrm{27}\:{men} \\ $$
Commented by otchereabdullai@gmail.com last updated on 26/May/22
$$\mathrm{nice}\:\mathrm{one}! \\ $$
Commented by Tawa11 last updated on 30/May/22
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.\:\mathrm{I}\:\mathrm{appreciate}. \\ $$
Answered by Beginner last updated on 25/May/22
$$\mathrm{18}×\mathrm{6}/\mathrm{4}=\mathrm{27}{men} \\ $$