I. x2 - 20x + 96 = 0 => x2 - 12x - 8x + 96 = 0 => x(x - 12) - 8(x - 12) = 0 => (x - 12) (x - 8) = 0 => x = 12, 8 II. y2 - 23y + 22 = 0 => y2 - 22y - y + 22 = 0 => y(y - 22) - 1(y - 22) = 0 => (y - 22) (y - 1) = 0 => y = 22, 1 Hence, relationship between x and y cannot be established.
Pipe ‘A’ and pipe ‘B’, together can fill 20% of a tank in 5 hours while pipe ‘C’ takes 30 hours to empty it. Pipe ‘A’ and pipe ‘B’ w...
Pipe ‘A’ can fill a tank in 22 hours while pipe ‘B’ takes 25 hours to empty it. Pipe ‘A’ is opened alone when the tank was empty and after 1...
The time taken by pipe B3 alone to fill an empty tank completely is half of the time taken by pipe B1 alone to fill the same tank completely. Pipe B2 al...
Two pipes A and B can fill a cistern in
A cistern has a leak that can empty it in 12 hours. A tap is turned on, which fills water at the rate of 15 liters per hour. Now, the cistern gets empti...
Pipe A alone fill the tank in x hours and Pipe B alone fill the tank in (x – 10) hours. If the efficiency of pipe B is triple of pipe A and pipe A...
Pipe 'A' and pipe 'B', alone can fill a tank in 20 minutes and 30 minutes, respectively. Both the pipes were opened together to fill the tank, but later...
Pipe ‘A’ takes 15 minutes to fill a tank. Pipe ‘B’ takes 20 minutes to empty the same tank. If pipe ‘B’ is opened 12...
A pipe, working by itself, can fill an empty cistern in 36(4/11) minutes. However, due to a leak, the same pipe now takes 50 minutes to fill the cistern...
Pipe ‘A’ can fill a tank in 30 hours while pipe ‘B’ can empty it in 40 hours. They were operated on alternate hours starting with pipe ‘A’. ...
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