Question
Tap A and Tap B fill a drum of volume 552 liters in 24
minutes. If their efficiencies are in the ratio x:y respectively and B alone takes to fill the cistern 55.2 minutes. Find x-y.Solution
                    A+B         B Time         24   :  55.2 Efficiency    55.2  :    24                          23  :    10 Efficiency of A+B = 23 Efficiency of B = 10 Efficiency of A = 23 – 10 = 13 Ratio = x:y = 13:10 So, x – y = 13 – 10 = 3
I. y² - 7 y – 18 = 0
II. x² + 10 x + 16 = 0
I. 2x² - 11x + 12 = 0
II. 12y² + 29y + 15 = 0
I. 40x² + 81x + 35 = 0
II. 63y² + 103y + 42 = 0
I. 3p² - 11p + 10 = 0
II. 2q² + 13q + 21 = 0
I. 2x2 – 19x + 45 = 0
II. y2 – 14y + 48 = 0
If the roots of the quadratic equation 6m² + 7m + 8 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
 If x satisfies x² – 14x + 40 = 0, find x.
I. 81x - 117√x + 40 = 0
II. 81y - 225√y + 136 = 0
If the roots of the quadratic equation 5x² + 4x + 6 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
...I. 4x² - 21 x + 20 = 0
II. 8y² - 22 y + 15 = 0
