SSC MTS MATHS QUIZ

A tank has two pipes. The first pipe can fill it in 5 hours and second can empty it in 20 hours. If two pipes be opened together at a time then the tank will be filled in -

Pipe $\mathrm{X}$ can fill the tank in 10 hours and pipe $\mathrm{Y}$ can fill the tank in 6 hours and third pipe $\mathrm{Z}$ empties tank in 12 hours. If all pipes are opened together then after 3 hours what portion of tank will be filled.

Two inlet taps A and B can fill a tank in 36 minutes and 60 minutes respectively. Find the time taken by both the taps together to fill $\frac{1}{6}$ th of the tank.

Two pipes A & B individually fill an empty tank in 15 hours and 45 hours respectively. pipe  C can empty the same tank in 30 hours. If all three pipes opened together in the tank, then in how many hours the tank will be filled completely?

Pipes A and B can fill an empty cistern in 12 hours and 16 hours, respectively. Both pipes are opened together and after 3 hours pipe B is closed. How much time (in hours) will pipe A take to fill the remaining cistern?

Pipes A and B can empty a tank in 15 hours and 18 hours, respectively. Pipe C alone can fill the tank in 6 hours. If all the three pipes are opened together, then two-third part of the tank will be full after:

A tap fills the tank with water in 2 hours. But due to a leakage in the tank, the tank fills in $2 \frac{1}{3}$ hours. In how many hours will the leakage empty the tank?

Pipes A and B can together fill a tank in 20 hours and pipe C can empty $40 \%$ of the tank in 20 hours. Find the time taken by all the 3 pipes together to fill $60 \%$ of the tank.

Pipes A and B can fill a tank in $12 \mathrm{~h}$ and $18 \mathrm{~h}$, respectively, whereas pipe $\mathrm{C}$ can empty the full tank in $8 \mathrm{~h}$. A and B are opened for $4 \frac{1}{2} h$ and then closed. C alone will empty the tank in (in h):

Pipes A, B and C can fill a tank in 20,30 and 60 hours, respectively. Pipes A, B and C are opened at 7 a.m., 8 a.m., and 9 a.m., respectively, on the same day. When will the tank be full?