Time and Work Practice Test 2 with solutions

Let Amit, Aryan and Ram can finish the work in x, $\frac{\mathit{x}}{2}$ and $\frac{\mathit{x}}{3}$ days respectively, then
(Amit + Aryan + Ram)'s 1 day's work = $\frac{1}{\mathit{x}}+\frac{2}{\mathit{x}}+\frac{3}{\mathit{x}}$ = $\frac{6}{\mathit{x}}$
Now, $\frac{6}{\mathit{x}}$ = 1
∴ x = 6
Hence, Amit will finish the work in 6 days.