Question

X men working x hours per day can do x units of a work in x days. how much work can be completed by y men working y hours per day in y days?

Answer 1

$\textbf {Hey there, here is the solution.}$

.............................................................................................

x men work x hours per day can do x units of work (Given)

.............................................................................................

Find the amount of work 1 man can do:

number of men is directly proportional to the units of work

(x ÷ x ) man work x hours per day can do (x ÷ x ) unit of work

1 man work x hours per day can do 1 unit of work

.............................................................................................

Find the amount of work 1 man can do in one hour:

Amount of work in proportion to the unit of work done:

1 man work (x ÷ x) hours per day can do (1 ÷ x) unit of work

1 man work 1 hours per day can do 1/x unit of work

.............................................................................................

Find the amount of work y man can do in one hour:

(1 × y) man work 1 hours per day can do (1/x × y) unit of work

y man work 1 hours per day can do y/x unit of work

.............................................................................................

Find the amount of work y man can do in y hour:

y man work (1 × y) hours per day can do (y/x × y) unit of work

y man work y hours per day can do y²/x unit of work

.............................................................................................

Answer: y man work y hours per day can do y²/x unit of work

.............................................................................................

⭐$\textbf {Cheers }$⭐