Question
A can complete a piece of work in 24 days. He worked for
21 days and then B finished the remaining work in 5 days. In how many days can A and B together finish the work?Solution
A can complete a piece of work in 24 days. A does the work in 24 days =1 A does the work in 1 day =1/24 A does the work in 21 days = (1/24) ×21=7/8 Remaining work =1-7/8 =1/8 Remaining work finished by B in 5 days =5×8=40days. A and B together finish the work – 24 40 120 5 3 =120/5+3 =120/8 =15 days.
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...