Answer
According to this graph, the age of the universe is $~~13.25~~$ billion years old.
Work Step by Step
According to the graph, an object that traveled at a speed of $0.40~c$ for the time of the universe's existence would reach a distance of $5.3\times 10^9~ly$
We can find the time required to reach this distance:
$t = \frac{5.3\times 10^9~ly}{0.40~c} = 13.25\times 10^9~years$
According to this graph, the age of the universe is $~~13.25~~$ billion years old.
