Question
A, B, and C are working together on a project. A can
complete the project alone in 15 days, B in 20 days, and C in 30 days. On the first day, A, B, and C work together. On the second day, A and B work together. On the third day, B and C work together. This pattern repeats in the same order. How many days will it take to complete the entire project?Solution
Total work = (LCM of 15 , 20 and 30) = 60 units Efficiency of A = 60/15 = 4 units/day Efficiency of B = 60/20 = 3 units/day Efficiency of C = 60/30 = 2 units/day ATQ 1st day work (A+B+C) = 4+3+2 = 9units 2ndday work (A+B) = 4+3 = 7 units 3rd day work (B+C) = 3+2 = 5 units Total work in 3 days = 9+7+5 = 21 units Total work in 6 days = 21 x 2 = 42 units Remaining work = 18units Now its turn of all three on 7thday (A,B and C) = 9units On 8th day (A and B) = 7 Remaining 2 units of work done by (B and C) = 2/5 days = 0.4 day Total time taken = 8.4 days
I. 8y2 - 2y - 21 = 0
II. 2x2 + x - 6 = 0
I. 4x² -  15x + 9 = 0
II. 20y² -  23y + 6 = 0
I. 40x² + 81x + 35 = 0
II. 63y² + 103y + 42 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 20x + 96 = 0
Equation 2: y² - 18y + 72 = 0
I:Â x2Â - 33x + 242 = 0
II:Â y2Â - 4y - 77 = 0
I. x2 – 13x + 40 = 0
II. 2y2 – 15y + 13 = 0Â
I. 5x² = 19x – 12
II. 5y² + 11y = 12
I. 81x - 117√x + 40 = 0
II. 81y - 225√y + 136 = 0
I. x² - 19x + 84 = 0
II. y² - 25y + 156 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 24x + 135 = 0
Equation 2: y² - 26y + 153 = 0
Relevant for Exams:
