Question
Amit and Chetan can complete a
task individually in 30 days and 45 days, respectively. Amit begins the work alone, and after 'd' days, Chetan joins him. Together, they finish the entire work in '2d' days. Find the value of 'd'.Solution
ATQ,
Total work = 90 units. {LCM of 30 and 45} Efficiency of 'Amit' = 90 ÷ 30 = 3 units/day Efficiency of 'Chetan' = 90 ÷ 45 = 2 units/day Work done in 2d days = 3d + 3d + 2d = 90 8d = 90 d = 11.25
I. 15y2 + 4y – 4 = 0
II. 15x2 + x – 6 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
I. 15b2 + 26b + 8 = 0
II. 20a2 + 7a - 6 = 0
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
I. 6y2 - 17y + 12 = 0
II. 15x2 - 38x + 24 = 0
I. 4x2 – 53x – 105 = 0
II. 3y2 – 25y + 48 = 0
I. 9/(4 )p + 7/8p = 21/12
II. 7/5p = 9/10q + 1/4
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0
Quantity I: A vessel contains a mixture of milk and water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water then...
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