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195 men working 10 hours a day can finish a job in 20 days. how many men are employed to finish the job in 15 days. if they work 13 hours a day?​

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align="absmiddle" alt="\sf\small\underline\green{Given:-}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Csf%5Csmall%5Cunderline%5Cgreen%7BGiven%3A-%7D" title="\sf\small\underline\green{Given:-}">

\sf{\implies Case\:_{(1)}\:<klux>WORK</klux>\: finished}

\sf{\implies No\:of\:men=195}

\sf{\implies No\:of\:days=<klux>20</klux>}

\sf{\implies work\:done\:by\:man\:_{(each\:days)}=10\: hours}

\sf{\implies Case\:_{(2)}\:work\: finished}

\sf{\implies No\:of\:men=m}

\sf{\implies No\:of\:days=15}

\sf{\implies work\:done\:by\:man\:_{(each\:days)}=13\: hours}

\sf\small\underline\green{To\: Find:-}

\sf{\implies No\:of\:men\:_{(as\:per\:case\:_{(2)}}=?}

\sf\small\underline\green{Solution:-}

To calculate the number of men as per the QUESTION ,at first we have to set up equation with the help of given clue in the question. In question, given that 195 men working 10 hours a day can finish a job in 20 days. how many men are employed to finish the job in 15 days. if they work 13 hours a day?

\tt{\implies work\:finished\:_{(Case\:_{(1)})}=work\: finished\:_{(Case\:_{(2)})}}

\tt{\implies M\:_{(1)}\times\:D\:_{(1)}\times\:T\:_{(1)}=M\:_{(2)}\times\:D\:_{(2)}\times\:T\:_{(2)}}

\tt{\implies 195\times\:20\times\:10=M\:_{(2)}\times\:15\times\:13}

\tt{\implies 15\times\:20\times\:10=M\:_{(2)}\times\:15}

\tt{\implies 20\times\:10=M\:_{(2)}}

\tt{\implies M\:_{(2)}=200}

\sf\large{Hence,}

\sf{\implies No\:of\:men\:_{(as\:per\:case\:_{(2)}}=200}


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