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Work done by A in 1 hour = 1/12, Work done by B in 1 hour = 1/15 Work done by C in 1 hour (emptying) = -1/10 Net work done in 1 hour = (1/12) + (1/15) - (1/10) Taking LCM of 12, 15, and 10 = 60, Net work = (5/60) + (4/60) - (6/60) = 3/60 = 1/20 The tank will be filled in 20 hours. Correct Option: a) 20 hours
I. 8x – 3y = 85
II. 4x – 5y = 67
I. x² - (16)2 = 0
II. 2y - 14 = 0
I.70x² - 143x + 72 = 0
II. 80 y² - 142y + 63 = 0
I. 96x² + 52x - 63 = 0
II. 77y² + 155y + 72 = 0
I. 7p + 8q = 80
II. 9p – 5q = 57
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 27x² - 114x + 99 = 0
Equation 2: 18y² - 70y + 68 = 0
I. x2 - 4x – 21 = 0
II. y2 + 12y + 20 = 0
I. 6x2- 41x+13=0
II. 2y2- 19y+42=0
I. 144x² - 163x - 65 = 0
II. 91y² - 128y -48 = 0
I. p2 - 19p + 88 = 0
II. q2 - 48q + 576 = 0