Answer
1.5 years are needed.
Work Step by Step
The interest formula is: I = P $\times$ r $\times$ t.
To find the time needed to invest, or t, we divide I by P $\times$ r.
So, t = $\frac{I}{P\ \times\ r}$
P = 2000
r = 5.4% = 0.054
I = 162
Substitute these values in the formula to obtain:
t = $\frac{162}{2000\ \times\ 0.054}$
t = $\frac{162}{108}$
t = 1.5 hours