Question

if x men working x hours per day can do x units of a work in x days, then y men working y hours per day would be able to complete how many units of work in y days ?

• A. $\frac{x^2}{y^3}$
• B. $\frac{x^3}{y^2}$
• C. $\frac{y^2}{x^3}$
• D. $\frac{y^3}{x^2}$

Answer 1

Answer: (D)

$\frac{y^3}{x^2}$

x men working x hours in x days = x units work Then 1 men working 1 hour in 1 day = $\frac{x}{x^3}$ units
work y men working y hours in y days = $\frac{x{y}^3}{x^3}=\frac{y^3}{x^2}$