Answer:
6.67 minutes
Explanation:
d = Diameter of first telescope = 2 m
d' = Diameter of second telescope = 6 m
Increase in diameter
[tex]\dfrac{d'}{d}=\dfrac{6}{2}=3[/tex]
Time to collect light for first telescope
t = 1 hour = 60 minutes
Time to collect light for second telescope
[tex]t'=\dfrac{60}{3^2}\\\Rightarrow t'=6.67\ min[/tex]
The time taken would be 6.67 minutes