8 men complete the sameWork as 12 Women. In howmony dans will 15 Womencomplete the same WorksWhich 12 men completein 20 days ? About the author Isabella
Answer: [tex] \huge\star \underline{ \boxed{ \purple{Answer}}}\star[/tex] [tex]\sf{Women\:will\:complete\:the\:work}[/tex] [tex]{in\:=\:16\:days}[/tex] Step-by-step explanation: Given :– [tex]\rm{8\:men\:complete\:the\:same\:Work}[/tex] [tex]{as\:12\:Women}[/tex] To Find :– In how many dans will 15 Women complete the same Work Solution :– [tex]\rm{12\:Men\:do\:the\:work\:in\:20\:days}[/tex] [tex]\rm\green{1\:Men\:will\:take}[/tex] ➝[tex]\rm{(20\:\times\:12)\:=\:240\:Days}[/tex] [tex]\rm{8\:Men\:can\:complete\:the\:same}[/tex] [tex]\rm{amount\:of\:work\:as\:12\:Women}[/tex] [tex]\rm\green{1\:Men\:can\:do}[/tex] ➝[tex]\rm{\frac{12}{8}\:=\:\frac{3}{2}th\:of\:the\:work\:of\:a\:women}[/tex] ➝[tex]\rm{\frac{3}{2}\:\times\:Work\:=\:240}[/tex] ➝[tex]\rm{\frac{240\:\times\:2}{3}\:=\:Work}[/tex] ➝[tex]\rm{80\:\times\:2\:=\:Work}[/tex] ➝[tex]\rm{160\:=\:Work}[/tex] [tex]\rm\green{Now\:there\:are\:15\:Women}[/tex] [tex]\rm{No.\:of\:days\:required\:=\:\frac{Work}{No.\:of\:Women}}[/tex] [tex]\rm\:{=\:\frac{160}{15}\:=\:12\:Days}[/tex] [tex]\huge\rm\pink{Hence,}[/tex] [tex]\rm{15\:Women\:will\:take\:12\:days\:to\:complete\:same\:Work}[/tex] [tex]\huge\mathfrak\red{Hope \: it \: helps \: you} [/tex] [tex]\huge\mathfrak\red{friend} [/tex] Reply
Answer:
[tex] \huge\star \underline{ \boxed{ \purple{Answer}}}\star[/tex]
[tex]\sf{Women\:will\:complete\:the\:work}[/tex]
[tex]{in\:=\:16\:days}[/tex]
Step-by-step explanation:
Given :–
[tex]\rm{8\:men\:complete\:the\:same\:Work}[/tex]
[tex]{as\:12\:Women}[/tex]
To Find :–
In how many dans will 15 Women complete the same Work
Solution :–
[tex]\rm{12\:Men\:do\:the\:work\:in\:20\:days}[/tex]
[tex]\rm\green{1\:Men\:will\:take}[/tex]
➝[tex]\rm{(20\:\times\:12)\:=\:240\:Days}[/tex]
[tex]\rm{8\:Men\:can\:complete\:the\:same}[/tex]
[tex]\rm{amount\:of\:work\:as\:12\:Women}[/tex]
[tex]\rm\green{1\:Men\:can\:do}[/tex]
➝[tex]\rm{\frac{12}{8}\:=\:\frac{3}{2}th\:of\:the\:work\:of\:a\:women}[/tex]
➝[tex]\rm{\frac{3}{2}\:\times\:Work\:=\:240}[/tex]
➝[tex]\rm{\frac{240\:\times\:2}{3}\:=\:Work}[/tex]
➝[tex]\rm{80\:\times\:2\:=\:Work}[/tex]
➝[tex]\rm{160\:=\:Work}[/tex]
[tex]\rm\green{Now\:there\:are\:15\:Women}[/tex]
[tex]\rm{No.\:of\:days\:required\:=\:\frac{Work}{No.\:of\:Women}}[/tex]
[tex]\rm\:{=\:\frac{160}{15}\:=\:12\:Days}[/tex]
[tex]\huge\rm\pink{Hence,}[/tex]
[tex]\rm{15\:Women\:will\:take\:12\:days\:to\:complete\:same\:Work}[/tex]
[tex]\huge\mathfrak\red{Hope \: it \: helps \: you} [/tex]
[tex]\huge\mathfrak\red{friend} [/tex]