Question

8 men complete the same
Work as 12 Women. In how
mony dans will 15 Women
complete the same Works
Which 12 men complete
in 20 days ?​

Answer 1

Answer:

$\huge\star \underline{ \boxed{ \purple{Answer}}}\star$

$\sf{Women\:will\:complete\:the\:work}$

${in\:=\:16\:days}$

Step-by-step explanation:

Given :-

$\rm{8\:men\:complete\:the\:same\:Work}$

${as\:12\:Women}$

To Find :-

In how many dans will 15 Women complete the same Work

Solution :-

$\rm{12\:Men\:do\:the\:work\:in\:20\:days}$

$\rm\green{1\:Men\:will\:take}$

➝$\rm{(20\:\times\:12)\:=\:240\:Days}$

$\rm{8\:Men\:can\:complete\:the\:same}$

$\rm{amount\:of\:work\:as\:12\:Women}$

$\rm\green{1\:Men\:can\:do}$

➝$\rm{\frac{12}{8}\:=\:\frac{3}{2}th\:of\:the\:work\:of\:a\:women}$

➝$\rm{\frac{3}{2}\:\times\:Work\:=\:240}$

➝$\rm{\frac{240\:\times\:2}{3}\:=\:Work}$

➝$\rm{80\:\times\:2\:=\:Work}$

➝$\rm{160\:=\:Work}$

$\rm\green{Now\:there\:are\:15\:Women}$

$\rm{No.\:of\:days\:required\:=\:\frac{Work}{No.\:of\:Women}}$

$\rm\:{=\:\frac{160}{15}\:=\:12\:Days}$

$\huge\rm\pink{Hence,}$

$\rm{15\:Women\:will\:take\:12\:days\:to\:complete\:same\:Work}$

$\huge\mathfrak\red{Hope \: it \: helps \: you}$

$\huge\mathfrak\red{friend}$