Chain Rule Practice Test 2 with solutions

Here, 14 × 2 men + 14 × 7 boys
= 11 × 3 men + 11 × 8 boys
⇒ 28 men + 98 boys
= 33 men + 88 boys
⇒ 5 men = 10 boys
∴ 1 man = 2 boys
Then, 2 men and 7 boys = 4 boys + 7 boys = 11 boys
& also, 8 men and 6 boys = 16 boys + 6 boys = 22 boys

⇒ $\frac{\mathit{x}}{14}$ = $\frac{11}{22}\times \frac{3}{1}$
∴ x = $\frac{1}{2}\times 3\times 14$ = 21 days