Answer
$4.3h$
Work Step by Step
First of all, we convert the radiation rate into calories
$62\frac{J}{s}(\frac{1cal}{4186J})=1.481\times 10^{-2}\frac{cal}{s}$
Now we can find the required time
$t=\frac{230cal}{1.481\times 10^{-2}\frac{cal}{s}}(\frac{1h}{3600s})=4.3h$