Let the first term of the AP be a & the common difference = d 8th term = A8 = a + 7d 12th term = A12 = a + 11d According to question, 8 × (a + 7d) = 12 × (a + 11d) 8a + 56d = 12a + 132d 12a − 8a = 56d − 132d 4a = −76d a = −19d a + 19d = 0 = A20
There are 8 inlet and (x-4) outlet pipes attached to a tank. Each inlet pipe takes 24 hours to fill the tank, and each outlet pipe empties the fully fil...
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 20 minutes and 10 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...
In a party a tank is filled with some quantities of juice. Three vessels of different volume are used to serve the juice. Volume of the smallest vessel ...
A large cistern can be filled by two pipes, P and Q, in 16 minutes and 24 minutes, respectively. Pipe R can empty the cistern in ...
Pipe ‘A’ and pipe ‘B’, together can fill 20% of a tank in 6 hours while pipe ‘C’ takes 36 hours to empty it. ...
Pipes 'A' and 'B' have the capacity to fill a tank in 12 hours and 15 hours, respectively. Conversely, pipe 'C' can drain the same tank in 20 hours. Ini...
If a tank can be filled by a tap in 12 hours, but due to an outlet, it actually takes 6 hours longer to fill the tank, find the duration in which the ou...
Pipe ‘A’ and pipe ‘B’, together can fill 20% of a tank in 7 hours while pipe ‘C’ takes 40 hours to empty it. ...
Pipe ‘A’ can fill a tank in 15 hours while pipe ‘B’ can empty it in 45 hours. They were operated on alternate hours starting with pipe ‘A’. ...
A tank is filled by 3 pipes, second pipe take 5 hours more than first pipe and 5 hours less than third pipe to fill the tank alone. If second and third ...
