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Let the efficiency of woman and that of a girl be 'X' units/day and 'Y' units/day respectively. Time taken by 2 women and 5 girls together to complete the entire work = 9 × 2 = 18 days Then, total work = (3X + Y) × 25 = (2X + 5Y) × 18 Or, 75X + 25Y = 36X + 90Y Or, 39X = 65Y So, X:Y = 65:39 = 5:3 Let 'X' = '5a' and 'Y' = '3a' Then, total work = (5a × 3 + 3a) × 25 = '450a' units 40% of the total work = 450a × 0.4 = '180a' units Time taken by 1 woman and 1 girl together to complete 40% of the work = 180a ÷ (5a + 3a) = (180a/8a) = 22.5 days
I). p2 + 22p + 72 = 0,
II). q2 - 24q + 128 = 0
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
A and B are the roots of equation x2 - 13x + k = 0. If A - B = 5, what is the value of k?
If x2 - 3x - 18 = 0 and y2 + 9y + 18 = 0, which of the following is true?
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29x² - 177x + 270 = 0
Equation 2: 31y² - 152y + ...
I. 8/(21x) - 2/7 = 0
II. 16y² - 24y +9 = 0
I. 2x² + 11 x + 15 = 0
II. 2y² - 19 y + 44 = 0
I. 3x2 - 14x + 15 = 0
II. 15y2- 34 y + 15 = 0
I. 2p2 - 3p – 2 = 0 II. 2q2 - 11q + 15 = 0
I. 3p2 - 11p + 10 = 0
II. 42q2 + q -1 = 0