We know that after 15 hours the half of initial number of atoms will decay. Therefore, we can write (see https://en.wikipedia.org/wiki/Half-life#Formulas_for_half-life_in_exponential_decay)
N(T)=N(0)⋅(21)T1/2T, where T1/2 is the half-life.
Activity is proportional to the number of atoms not decayed yet. So, we should determine fraction N(0)N(T)=N(0)N(60)=(21)1560=(21)4=161.
Therefore, the activity after 60 hours will be 161 of the original activity or 500⋅161=31.25 Bq.
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