Time and Work Practice Test 3 with solutions

Work done by 1 man in 1 day = $\frac{1}{\mathit{x}+1}$
Work done by (x - 1) man in 1 day = $\frac{\mathit{x}-1}{\mathit{x}+1}$
Work done by 1 man in 1 day = $\frac{1}{\mathit{x}+2}$
Work done by (x + 1) man in 1 day = $\frac{+1}{\mathit{x}+2}$
According to the statement,
$\frac{\mathit{x}-1}{\mathit{x}+1}\times \frac{\mathit{x}+1}{\mathit{x}+2}$ = $\frac{5}{6}$
$\frac{\mathit{x}-1}{\mathit{x}+2}$ = $\frac{5}{6}$
6x - 6 = 5x + 10
x = 16