Question

If 15 men working 12 hours daily reep a field in 14 days how long will it take 21 men working 10 hours daily to do the same work ?

Answer 1

Let the Area of the Field to be reaped be : F

Given : 15 Men working 12 hours daily reap the Field in 14 days

$\mathsf{\implies In\;1\;day,\;15\;men\;working\;12\;hours\;reap\;an\;Area\;of : \dfrac{F}{14}}$

$\mathsf{\implies In\;1\;day,\;15\;men\;working\;1\;hour\;reap\;an\;Area\;of : \dfrac{F}{14 \times 12}}$

$\mathsf{\implies In\;1\;day,\;15\;men\;working\;1\;hour\;reap\;an\;Area\;of : \dfrac{F}{168}}$

$\mathsf{\implies In\;1\;day,\;1\;man\;working\;1\;hour\;reap\;an\;Area\;of : \dfrac{F}{168 \times 15}}$

$\mathsf{\implies In\;1\;day,\;1\;men\;working\;1\;hour\;reap\;an\;Area\;of : \dfrac{F}{2520}}$

$\mathsf{\implies In\;1\;day,\;21\;men\;working\;1\;hour\;reap\;an\;Area\;of : \dfrac{F \times 21}{2520}}$

$\mathsf{\implies In\;1\;day,\;21\;men\;working\;1\;hour\;reap\;an\;Area\;of : \dfrac{F}{120}}$

$\mathsf{\implies In\;1\;day,\;21\;men\;working\;10\;hours\;reap\;an\;Area\;of : \dfrac{F \times 10}{120}}$

$\mathsf{\implies In\;1\;day,\;21\;men\;working\;10\;hours\;reap\;an\;Area\;of : \dfrac{F}{12}}$

$\mathsf{\implies In\;12\;days,\;21\;men\;working\;10\;hours\;reap\;an\;Area\;of : \dfrac{F\times 12}{12}}$

$\mathsf{\implies In\;12\;days,\;21\;men\;working\;10\;hours\;reap\;an\;Area\;of : F}$

Answer : 21 men working 10 hours daily do the work in 12 days

Answer 2

$\huge\boxed{Hey!}$

Answer :-

21 men working for 10 hours everyday,can reap in 12 days

Kindly,refer attachment ^_^