Two reservoirs are connected by two parallel pipes of equal length and of diameters $20\:cm$ and $10\:cm$, as shown in the figure (not drawn to scale). When the difference in the water levels of the reservoirs is $5\:m$, the ratio of discharge in the larger diameter pipe to the discharge in the smaller diameter pipe is __________. (round off to two decimal places)

(Consider only loss due to friction and neglect all other losses. Assume the friction factor to be the same for both the pipes)