Answer:
The catalyzed reaction will take time of
.
Explanation:
According to the Arrhenius equation,

The expression used with catalyst and without catalyst is,


where,
= rate of reaction with catalyst
= rate of reaction without catalyst
= activation energy with catalyst = 59.0 kJ/mol = 59000 J/mol
= activation energy without catalyst = 184 kJ/mol = 184000 J/mol
R = gas constant
T = temperature = 
Now put all the given values in this formula, we get:

The reaction enhances by
when catalyst is present.
Time taken by reaction without catalyzed = 3900 years
Time taken by reaction with catalyzed = x

The catalyzed reaction will take time of
.