Two taps A and B can fill a tank in 12 minutes and 20 minutes respectively.If both the pipes are opened for 10 minutes then the volume of water which overflows as a percentage of the volume of the tank is …………….

Options

A. `25%`
B. `16(2)/(3)%`
C. `20%`
D. `33(1)/(3)%`

Answer

D

Explanation

(i) Find the time taken by the two taps, together, to fill the tank.
(ii) Find the part of the tank filled by tank A and B in 1 minute.
(iii) Find the time taken to fill the tank by A and B.
(iv) Calculate the required percentage of water overflown in 10 minutes.